86288739264000 has 5120 divisors, whose sum is σ = 420049915084800. Its totient is φ = 17045323776000.

The previous prime is 86288739263927. The next prime is 86288739264011. The reversal of 86288739264000 is 46293788268.

86288739264000 is a `hidden beast` number, since 8 + 62 + 8 + 87 + 3 + 92 + 6 + 400 + 0 = 666.

86288739264000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 451773503905 + ... + 451773504095.

It is an arithmetic number, because the mean of its divisors is an integer number (82040999040).

Almost surely, 2^{86288739264000} is an apocalyptic number.

86288739264000 is a gapful number since it is divisible by the number (80) 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 86288739264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210024957542400).

86288739264000 is an abundant number, since it is smaller than the sum of its proper divisors (333761175820800).

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

86288739264000 is a wasteful number, since it uses less digits than its factorization.

86288739264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 86288739264000 in words is "eighty-six trillion, two hundred eighty-eight billion, seven hundred thirty-nine million, two hundred sixty-four thousand".