87520644288 has 448 divisors, whose sum is σ = 323677117440. Its totient is φ = 22527590400.

The previous prime is 87520644257. The next prime is 87520644307. The reversal of 87520644288 is 88244602578.

87520644288 is a `hidden beast` number, since 8 + 7 + 5 + 206 + 4 + 428 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15032418 + ... + 15038238.

Almost surely, 2^87520644288 is an apocalyptic number.

87520644288 is a gapful number since it is divisible by the number (88) 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 87520644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161838558720).

87520644288 is an abundant number, since it is smaller than the sum of its proper divisors (236156473152).

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

87520644288 is a wasteful number, since it uses less digits than its factorization.

87520644288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 87520644288 in words is "eighty-seven billion, five hundred twenty million, six hundred forty-four thousand, two hundred eighty-eight".