87940902244608 has 1728 divisors, whose sum is σ = 318486465024000. Its totient is φ = 23660817776640.

The previous prime is 87940902244571. The next prime is 87940902244651. The reversal of 87940902244608 is 80644220904978.

87940902244608 is a `hidden beast` number, since 87 + 9 + 4 + 0 + 90 + 2 + 2 + 4 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251979662418 + ... + 251979662766.

Almost surely, 2^{87940902244608} 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 87940902244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159243232512000).

87940902244608 is an abundant number, since it is smaller than the sum of its proper divisors (230545562779392).

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

87940902244608 is a wasteful number, since it uses less digits than its factorization.

87940902244608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 87940902244608 in words is "eighty-seven trillion, nine hundred forty billion, nine hundred two million, two hundred forty-four thousand, six hundred eight".