87967268862480 has 720 divisors, whose sum is σ = 365262045482880. Its totient is φ = 18533698117632.

The previous prime is 87967268862469. The next prime is 87967268862491. The reversal of 87967268862480 is 8426886276978.

87967268862480 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 72 + 6 + 8 + 8 + 62 + 480 = 666.

87967268862480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (87967268862469) and next prime (87967268862491).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×87967268862480² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87967268862480.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130759932 + ... + 131430948.

It is an arithmetic number, because the mean of its divisors is an integer number (507308396504).

Almost surely, 2^{87967268862480} is an apocalyptic number.

87967268862480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87967268862480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182631022741440).

87967268862480 is an abundant number, since it is smaller than the sum of its proper divisors (277294776620400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87967268862480 is a wasteful number, since it uses less digits than its factorization.

87967268862480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671136 (or 671090 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 87967268862480 in words is "eighty-seven trillion, nine hundred sixty-seven billion, two hundred sixty-eight million, eight hundred sixty-two thousand, four hundred eighty".