48370056940800 has 1620 divisors, whose sum is σ = 208387150767180. Its totient is φ = 11037869015040.

The previous prime is 48370056940763. The next prime is 48370056940813. The reversal of 48370056940800 is 804965007384.

48370056940800 is a `hidden beast` number, since 4 + 8 + 3 + 70 + 0 + 569 + 4 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 679872807936 + 47690184132864 = 824544^2 + 6905808^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 21057925252 + ... + 21057927548.

Almost surely, 2^{48370056940800} is an apocalyptic number.

48370056940800 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 48370056940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104193575383590).

48370056940800 is an abundant number, since it is smaller than the sum of its proper divisors (160017093826380).

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

48370056940800 is a wasteful number, since it uses less digits than its factorization.

48370056940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48370056940800 in words is "forty-eight trillion, three hundred seventy billion, fifty-six million, nine hundred forty thousand, eight hundred".