101394956880 has 480 divisors, whose sum is σ = 400784776704. Its totient is φ = 22487445504.

The previous prime is 101394956851. The next prime is 101394956899. The reversal of 101394956880 is 88659493101.

101394956880 is a `hidden beast` number, since 1 + 0 + 1 + 39 + 49 + 568 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114311797 + ... + 114312683.

Almost surely, 2^101394956880 is an apocalyptic number.

101394956880 is a gapful number since it is divisible by the number (10) 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 101394956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200392388352).

101394956880 is an abundant number, since it is smaller than the sum of its proper divisors (299389819824).

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

101394956880 is a wasteful number, since it uses less digits than its factorization.

101394956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 101394956880 in words is "one hundred one billion, three hundred ninety-four million, nine hundred fifty-six thousand, eight hundred eighty".