48403630800 has 540 divisors, whose sum is σ = 206905218156. Its totient is φ = 10412236800.

The previous prime is 48403630799. The next prime is 48403630813. The reversal of 48403630800 is 803630484.

It can be written as a sum of positive squares in 6 ways, for example, as 79281216 + 48324349584 = 8904^2 + 219828^2 .

It is a super-2 number, since 2×48403630800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2990730 + ... + 3006870.

Almost surely, 2^48403630800 is an apocalyptic number.

48403630800 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 48403630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103452609078).

48403630800 is an abundant number, since it is smaller than the sum of its proper divisors (158501587356).

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

48403630800 is a wasteful number, since it uses less digits than its factorization.

48403630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 48403630800 in words is "forty-eight billion, four hundred three million, six hundred thirty thousand, eight hundred".