87137490593664 has 1024 divisors, whose sum is σ = 319968092160000. Its totient is φ = 22782191984640.

The previous prime is 87137490593639. The next prime is 87137490593689. The reversal of 87137490593664 is 46639509473178.

87137490593664 is a `hidden beast` number, since 8 + 71 + 3 + 7 + 490 + 5 + 9 + 3 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (87137490593639) and next prime (87137490593689).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87137490593592 and 87137490593601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7936736527 + ... + 7936747505.

It is an arithmetic number, because the mean of its divisors is an integer number (312468840000).

Almost surely, 2^{87137490593664} is an apocalyptic number.

87137490593664 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 87137490593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159984046080000).

87137490593664 is an abundant number, since it is smaller than the sum of its proper divisors (232830601566336).

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

87137490593664 is a wasteful number, since it uses less digits than its factorization.

87137490593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 87137490593664 in words is "eighty-seven trillion, one hundred thirty-seven billion, four hundred ninety million, five hundred ninety-three thousand, six hundred sixty-four".