87959793342960 has 960 divisors, whose sum is σ = 376014267832320. Its totient is φ = 17895390289920.

The previous prime is 87959793342947. The next prime is 87959793343003. The reversal of 87959793342960 is 6924339795978.

87959793342960 is a `hidden beast` number, since 8 + 7 + 95 + 9 + 79 + 33 + 429 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87959793342960.

It is a congruent number.

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, 1430931106 + ... + 1430992574.

It is an arithmetic number, because the mean of its divisors is an integer number (391681528992).

Almost surely, 2^{87959793342960} is an apocalyptic number.

87959793342960 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 87959793342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188007133916160).

87959793342960 is an abundant number, since it is smaller than the sum of its proper divisors (288054474489360).

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

87959793342960 is a wasteful number, since it uses less digits than its factorization.

87959793342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62046 (or 62037 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 87959793342960 in words is "eighty-seven trillion, nine hundred fifty-nine billion, seven hundred ninety-three million, three hundred forty-two thousand, nine hundred sixty".