87513490329600 has 156 divisors (see below), whose sum is σ = 289342617916496. Its totient is φ = 23336930672640.

The previous prime is 87513490329599. The next prime is 87513490329623. The reversal of 87513490329600 is 692309431578.

It is a super-2 number, since 2×87513490329600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142130122 + ... + 142744521.

It is a 1-persistent number, because it is pandigital, but 2⋅87513490329600 = 175026980659200 is not.

Almost surely, 2^{87513490329600} is an apocalyptic number.

87513490329600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87513490329600 is an abundant number, since it is smaller than the sum of its proper divisors (201829127586896).

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

87513490329600 is a wasteful number, since it uses less digits than its factorization.

87513490329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284874680 (or 284874653 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 87513490329600 in words is "eighty-seven trillion, five hundred thirteen billion, four hundred ninety million, three hundred twenty-nine thousand, six hundred".