10868389264656 has 960 divisors, whose sum is σ = 42508856401920. Its totient is φ = 2619412992000.

The previous prime is 10868389264619. The next prime is 10868389264699. The reversal of 10868389264656 is 65646298386801.

10868389264656 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 83 + 89 + 2 + 6 + 465 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281028201 + ... + 281066871.

It is an arithmetic number, because the mean of its divisors is an integer number (44280058752).

Almost surely, 2^{10868389264656} is an apocalyptic number.

10868389264656 is a gapful number since it is divisible by the number (16) 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 10868389264656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254428200960).

10868389264656 is an abundant number, since it is smaller than the sum of its proper divisors (31640467137264).

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

10868389264656 is a wasteful number, since it uses less digits than its factorization.

10868389264656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38801 (or 38782 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 10868389264656 in words is "ten trillion, eight hundred sixty-eight billion, three hundred eighty-nine million, two hundred sixty-four thousand, six hundred fifty-six".