48755876400 has 600 divisors, whose sum is σ = 218169202944. Its totient is φ = 10130572800.

The previous prime is 48755876371. The next prime is 48755876401. The reversal of 48755876400 is 467855784.

48755876400 is a `hidden beast` number, since 4 + 87 + 558 + 7 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48755876401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2485029 + ... + 2504571.

Almost surely, 2^48755876400 is an apocalyptic number.

48755876400 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 48755876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109084601472).

48755876400 is an abundant number, since it is smaller than the sum of its proper divisors (169413326544).

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

48755876400 is a wasteful number, since it uses less digits than its factorization.

48755876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19591 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 48755876400 in words is "forty-eight billion, seven hundred fifty-five million, eight hundred seventy-six thousand, four hundred".