48752457600 has 768 divisors, whose sum is σ = 202493468160. Its totient is φ = 10014720000.

The previous prime is 48752457563. The next prime is 48752457631. The reversal of 48752457600 is 675425784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48752457600.

It is a congruent number.

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, 74658874 + ... + 74659526.

It is an arithmetic number, because the mean of its divisors is an integer number (263663370).

Almost surely, 2^48752457600 is an apocalyptic number.

48752457600 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 48752457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101246734080).

48752457600 is an abundant number, since it is smaller than the sum of its proper divisors (153741010560).

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

48752457600 is a wasteful number, since it uses less digits than its factorization.

48752457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 48752457600 in words is "forty-eight billion, seven hundred fifty-two million, four hundred fifty-seven thousand, six hundred".