48956057966160 has 240 divisors, whose sum is σ = 171006006540096. Its totient is φ = 13016208328704.

The previous prime is 48956057966159. The next prime is 48956057966173. The reversal of 48956057966160 is 6166975065984.

48956057966160 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 605 + 7 + 9 + 6 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×48956057966160² (a number of 28 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 2814907 + ... + 10287653.

Almost surely, 2^{48956057966160} is an apocalyptic number.

48956057966160 is a gapful number since it is divisible by the number (40) 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 48956057966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503003270048).

48956057966160 is an abundant number, since it is smaller than the sum of its proper divisors (122049948573936).

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

48956057966160 is a wasteful number, since it uses less digits than its factorization.

48956057966160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473112 (or 7473094 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 48956057966160 in words is "forty-eight trillion, nine hundred fifty-six billion, fifty-seven million, nine hundred sixty-six thousand, one hundred sixty".