87137354304 has 672 divisors, whose sum is σ = 338388960000. Its totient is φ = 20875345920.

The previous prime is 87137354287. The next prime is 87137354327. The reversal of 87137354304 is 40345373178.

87137354304 is a `hidden beast` number, since 8 + 71 + 37 + 3 + 543 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 87137354304.

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, 69765072 + ... + 69766320.

It is an arithmetic number, because the mean of its divisors is an integer number (503555000).

Almost surely, 2^87137354304 is an apocalyptic number.

87137354304 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 87137354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169194480000).

87137354304 is an abundant number, since it is smaller than the sum of its proper divisors (251251605696).

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

87137354304 is a wasteful number, since it uses less digits than its factorization.

87137354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 87137354304 in words is "eighty-seven billion, one hundred thirty-seven million, three hundred fifty-four thousand, three hundred four".