48381292800 has 324 divisors, whose sum is σ = 183152691540. Its totient is φ = 12142510080.

The previous prime is 48381292721. The next prime is 48381292811. The reversal of 48381292800 is 829218384.

48381292800 is a `hidden beast` number, since 483 + 8 + 1 + 2 + 92 + 80 + 0 = 666.

48381292800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 136048896 + 48245243904 = 11664^2 + 219648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954496 + ... + 1003904.

It is an arithmetic number, because the mean of its divisors is an integer number (565286085).

Almost surely, 2^48381292800 is an apocalyptic number.

48381292800 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 48381292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91576345770).

48381292800 is an abundant number, since it is smaller than the sum of its proper divisors (134771398740).

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

48381292800 is a wasteful number, since it uses less digits than its factorization.

48381292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49458 (or 49436 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48381292800 in words is "forty-eight billion, three hundred eighty-one million, two hundred ninety-two thousand, eight hundred".