48945700915200 has 288 divisors, whose sum is σ = 179786232007200. Its totient is φ = 13052186542080.

The previous prime is 48945700915183. The next prime is 48945700915231. The reversal of 48945700915200 is 251900754984.

It is a happy number.

48945700915200 is a `hidden beast` number, since 4 + 8 + 9 + 45 + 70 + 0 + 9 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 16320762 + ... + 19085561.

It is an arithmetic number, because the mean of its divisors is an integer number (624257750025).

Almost surely, 2^{48945700915200} is an apocalyptic number.

48945700915200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48945700915200 is an abundant number, since it is smaller than the sum of its proper divisors (130840531092000).

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

48945700915200 is a wasteful number, since it uses less digits than its factorization.

48945700915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35406364 (or 35406333 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 48945700915200 in words is "forty-eight trillion, nine hundred forty-five billion, seven hundred million, nine hundred fifteen thousand, two hundred".