87520352256 has 240 divisors, whose sum is σ = 263393250120. Its totient is φ = 28952985600.

The previous prime is 87520352243. The next prime is 87520352279. The reversal of 87520352256 is 65225302578.

87520352256 is a `hidden beast` number, since 8 + 75 + 2 + 0 + 3 + 522 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22724731 + ... + 22728581.

Almost surely, 2^87520352256 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 87520352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131696625060).

87520352256 is an abundant number, since it is smaller than the sum of its proper divisors (175872897864).

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

87520352256 is a wasteful number, since it uses less digits than its factorization.

87520352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 87520352256 in words is "eighty-seven billion, five hundred twenty million, three hundred fifty-two thousand, two hundred fifty-six".