87521624064 has 288 divisors, whose sum is σ = 296452275840. Its totient is φ = 24999100416.

The previous prime is 87521624053. The next prime is 87521624081. The reversal of 87521624064 is 46042612578.

87521624064 is a `hidden beast` number, since 8 + 7 + 521 + 62 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24770842 + ... + 24774374.

It is an arithmetic number, because the mean of its divisors is an integer number (1029348180).

Almost surely, 2^87521624064 is an apocalyptic number.

87521624064 is a gapful number since it is divisible by the number (84) 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 87521624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148226137920).

87521624064 is an abundant number, since it is smaller than the sum of its proper divisors (208930651776).

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

87521624064 is an frugal number, since it uses more digits than its factorization.

87521624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 87521624064 in words is "eighty-seven billion, five hundred twenty-one million, six hundred twenty-four thousand, sixty-four".