48125564928000 has 2880 divisors, whose sum is σ = 215991751143168. Its totient is φ = 10056263270400.

The previous prime is 48125564927969. The next prime is 48125564928019. The reversal of 48125564928000 is 82946552184.

48125564928000 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 556 + 4 + 9 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81156095704 + ... + 81156096296.

Almost surely, 2^{48125564928000} is an apocalyptic number.

48125564928000 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 48125564928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107995875571584).

48125564928000 is an abundant number, since it is smaller than the sum of its proper divisors (167866186215168).

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

48125564928000 is a wasteful number, since it uses less digits than its factorization.

48125564928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 48125564928000 in words is "forty-eight trillion, one hundred twenty-five billion, five hundred sixty-four million, nine hundred twenty-eight thousand".