87021490526208 has 1152 divisors, whose sum is σ = 319985837458560. Its totient is φ = 22212111237120.

The previous prime is 87021490526189. The next prime is 87021490526263. The reversal of 87021490526208 is 80262509412078.

87021490526208 is a `hidden beast` number, since 8 + 7 + 0 + 2 + 1 + 4 + 9 + 0 + 5 + 2 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3327386860 + ... + 3327413012.

It is an arithmetic number, because the mean of its divisors is an integer number (277765483905).

Almost surely, 2^{87021490526208} 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 87021490526208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159992918729280).

87021490526208 is an abundant number, since it is smaller than the sum of its proper divisors (232964346932352).

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

87021490526208 is a wasteful number, since it uses less digits than its factorization.

87021490526208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26283 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87021490526208 in words is "eighty-seven trillion, twenty-one billion, four hundred ninety million, five hundred twenty-six thousand, two hundred eight".