87329876958720 has 3200 divisors, whose sum is σ = 363248482037760. Its totient is φ = 20024274124800.

The previous prime is 87329876958703. The next prime is 87329876958739. The reversal of 87329876958720 is 2785967892378.

87329876958720 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 9 + 8 + 7 + 6 + 9 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 87329876958720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 504796976554 + ... + 504796976726.

Almost surely, 2^{87329876958720} is an apocalyptic number.

87329876958720 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 87329876958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181624241018880).

87329876958720 is an abundant number, since it is smaller than the sum of its proper divisors (275918605079040).

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

87329876958720 is a wasteful number, since it uses less digits than its factorization.

87329876958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 87329876958720 in words is "eighty-seven trillion, three hundred twenty-nine billion, eight hundred seventy-six million, nine hundred fifty-eight thousand, seven hundred twenty".