48725757360 has 480 divisors, whose sum is σ = 194974520832. Its totient is φ = 11078000640.

The previous prime is 48725757331. The next prime is 48725757397. The reversal of 48725757360 is 6375752784.

It is a happy number.

48725757360 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 5 + 7 + 573 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48725757297 and 48725757306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28712032 + ... + 28713728.

Almost surely, 2^48725757360 is an apocalyptic number.

48725757360 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 48725757360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97487260416).

48725757360 is an abundant number, since it is smaller than the sum of its proper divisors (146248763472).

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

48725757360 is a wasteful number, since it uses less digits than its factorization.

48725757360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 48725757360 in words is "forty-eight billion, seven hundred twenty-five million, seven hundred fifty-seven thousand, three hundred sixty".