87244615680 has 416 divisors, whose sum is σ = 294517430784. Its totient is φ = 22007513088.

The previous prime is 87244615651. The next prime is 87244615699. The reversal of 87244615680 is 8651644278.

It is a super-2 number, since 2×87244615680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151203552 + ... + 151204128.

Almost surely, 2^87244615680 is an apocalyptic number.

87244615680 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 87244615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147258715392).

87244615680 is an abundant number, since it is smaller than the sum of its proper divisors (207272815104).

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

87244615680 is a wasteful number, since it uses less digits than its factorization.

87244615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 87244615680 in words is "eighty-seven billion, two hundred forty-four million, six hundred fifteen thousand, six hundred eighty".