87959524320 has 192 divisors, whose sum is σ = 308950467840. Its totient is φ = 23372665344.

The previous prime is 87959524309. The next prime is 87959524397. The reversal of 87959524320 is 2342595978.

87959524320 is a `hidden beast` number, since 8 + 7 + 9 + 595 + 2 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186587 + ... + 1258533.

It is an arithmetic number, because the mean of its divisors is an integer number (1609117020).

Almost surely, 2^87959524320 is an apocalyptic number.

87959524320 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 87959524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154475233920).

87959524320 is an abundant number, since it is smaller than the sum of its proper divisors (220990943520).

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

87959524320 is a wasteful number, since it uses less digits than its factorization.

87959524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72254 (or 72240 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 87959524320 in words is "eighty-seven billion, nine hundred fifty-nine million, five hundred twenty-four thousand, three hundred twenty".