48008088400 has 60 divisors (see below), whose sum is σ = 122124122172. Its totient is φ = 18073630720.

The previous prime is 48008088391. The next prime is 48008088433. The reversal of 48008088400 is 488080084.

It can be written as a sum of positive squares in 6 ways, for example, as 4720789264 + 43287299136 = 68708^2 + 208056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3523207 + ... + 3536806.

Almost surely, 2^48008088400 is an apocalyptic number.

48008088400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48008088400 is an abundant number, since it is smaller than the sum of its proper divisors (74116033772).

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

48008088400 is a wasteful number, since it uses less digits than its factorization.

48008088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060048 (or 7060037 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 48008088400 in words is "forty-eight billion, eight million, eighty-eight thousand, four hundred".