87477951407616 has 1200 divisors, whose sum is σ = 345257048801280. Its totient is φ = 21525510758400.

The previous prime is 87477951407569. The next prime is 87477951407617. The reversal of 87477951407616 is 61670415977478.

87477951407616 is a `hidden beast` number, since 8 + 7 + 4 + 77 + 95 + 1 + 407 + 61 + 6 = 666.

87477951407616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87477951407616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87477951407617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 667343361 + ... + 667474431.

Almost surely, 2^{87477951407616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87477951407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172628524400640).

87477951407616 is an abundant number, since it is smaller than the sum of its proper divisors (257779097393664).

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

87477951407616 is a wasteful number, since it uses less digits than its factorization.

87477951407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131149 (or 131113 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 87477951407616 in words is "eighty-seven trillion, four hundred seventy-seven billion, nine hundred fifty-one million, four hundred seven thousand, six hundred sixteen".