48556177920 has 960 divisors, whose sum is σ = 193090677120. Its totient is φ = 11519262720.

The previous prime is 48556177913. The next prime is 48556177931. The reversal of 48556177920 is 2977165584.

48556177920 is a `hidden beast` number, since 4 + 8 + 5 + 561 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129213419 + ... + 1129213461.

It is an arithmetic number, because the mean of its divisors is an integer number (201136122).

Almost surely, 2^48556177920 is an apocalyptic number.

48556177920 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 48556177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96545338560).

48556177920 is an abundant number, since it is smaller than the sum of its proper divisors (144534499200).

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

48556177920 is a wasteful number, since it uses less digits than its factorization.

48556177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 48556177920 in words is "forty-eight billion, five hundred fifty-six million, one hundred seventy-seven thousand, nine hundred twenty".