48480132920400 has 180 divisors, whose sum is σ = 169368654159900. Its totient is φ = 12841269964800.

The previous prime is 48480132920399. The next prime is 48480132920411. The reversal of 48480132920400 is 402923108484.

48480132920400 is a `hidden beast` number, since 4 + 84 + 80 + 1 + 3 + 2 + 92 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1651677350976 + 46828455569424 = 1285176^2 + 6843132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44653881 + ... + 45726680.

It is an arithmetic number, because the mean of its divisors is an integer number (940936967555).

Almost surely, 2^{48480132920400} is an apocalyptic number.

48480132920400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48480132920400 is an abundant number, since it is smaller than the sum of its proper divisors (120888521239500).

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

48480132920400 is a wasteful number, since it uses less digits than its factorization.

48480132920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90380734 (or 90380720 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48480132920400 in words is "forty-eight trillion, four hundred eighty billion, one hundred thirty-two million, nine hundred twenty thousand, four hundred".