48153125160 has 512 divisors, whose sum is σ = 191600640000. Its totient is φ = 10746908928.

The previous prime is 48153125051. The next prime is 48153125161. The reversal of 48153125160 is 6152135184.

48153125160 is a `hidden beast` number, since 4 + 81 + 53 + 12 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48153125161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15927409 + ... + 15930431.

It is an arithmetic number, because the mean of its divisors is an integer number (374220000).

Almost surely, 2^48153125160 is an apocalyptic number.

48153125160 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 48153125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320000).

48153125160 is an abundant number, since it is smaller than the sum of its proper divisors (143447514840).

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

48153125160 is a wasteful number, since it uses less digits than its factorization.

48153125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 48153125160 in words is "forty-eight billion, one hundred fifty-three million, one hundred twenty-five thousand, one hundred sixty".