101395760256 has 512 divisors, whose sum is σ = 359844249600. Its totient is φ = 27495936000.

The previous prime is 101395760173. The next prime is 101395760293. The reversal of 101395760256 is 652067593101.

101395760256 is a `hidden beast` number, since 1 + 0 + 1 + 39 + 5 + 7 + 602 + 5 + 6 = 666.

It is a super-2 number, since 2×101395760256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39746181 + ... + 39748731.

It is an arithmetic number, because the mean of its divisors is an integer number (702820800).

Almost surely, 2^101395760256 is an apocalyptic number.

101395760256 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 101395760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179922124800).

101395760256 is an abundant number, since it is smaller than the sum of its proper divisors (258448489344).

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

101395760256 is a wasteful number, since it uses less digits than its factorization.

101395760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 101395760256 in words is "one hundred one billion, three hundred ninety-five million, seven hundred sixty thousand, two hundred fifty-six".