48008125468800 has 576 divisors, whose sum is σ = 196201049204160. Its totient is φ = 10949461401600.

The previous prime is 48008125468781. The next prime is 48008125468903. The reversal of 48008125468800 is 886452180084.

48008125468800 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 8 + 12 + 546 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×48008125468800² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92679319 + ... + 93195881.

It is an arithmetic number, because the mean of its divisors is an integer number (340626821535).

Almost surely, 2^{48008125468800} is an apocalyptic number.

48008125468800 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 48008125468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98100524602080).

48008125468800 is an abundant number, since it is smaller than the sum of its proper divisors (148192923735360).

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

48008125468800 is a wasteful number, since it uses less digits than its factorization.

48008125468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517061 (or 517041 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 48008125468800 in words is "forty-eight trillion, eight billion, one hundred twenty-five million, four hundred sixty-eight thousand, eight hundred".