87393170637696 has 768 divisors, whose sum is σ = 294811884057600. Its totient is φ = 22450972262400.

The previous prime is 87393170637667. The next prime is 87393170637709. The reversal of 87393170637696 is 69673607139378.

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, 46264250320 + ... + 46264252208.

It is an arithmetic number, because the mean of its divisors is an integer number (383869640700).

Almost surely, 2^{87393170637696} 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 87393170637696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147405942028800).

87393170637696 is an abundant number, since it is smaller than the sum of its proper divisors (207418713419904).

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

87393170637696 is a wasteful number, since it uses less digits than its factorization.

87393170637696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 1296243648, while the sum is 75.

The spelling of 87393170637696 in words is "eighty-seven trillion, three hundred ninety-three billion, one hundred seventy million, six hundred thirty-seven thousand, six hundred ninety-six".