87339600665856 has 648 divisors, whose sum is σ = 317652193931072. Its totient is φ = 22591357747200.

The previous prime is 87339600665813. The next prime is 87339600665869. The reversal of 87339600665856 is 65856600693378.

87339600665856 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 9 + 600 + 6 + 6 + 5 + 8 + 5 + 6 = 666.

87339600665856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×87339600665856³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470215755 + ... + 470401461.

Almost surely, 2^{87339600665856} 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 87339600665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158826096965536).

87339600665856 is an abundant number, since it is smaller than the sum of its proper divisors (230312593265216).

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

87339600665856 is a wasteful number, since it uses less digits than its factorization.

87339600665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185999 (or 185971 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 87339600665856 in words is "eighty-seven trillion, three hundred thirty-nine billion, six hundred million, six hundred sixty-five thousand, eight hundred fifty-six".