48136198924800 has 1080 divisors, whose sum is σ = 204439869924576. Its totient is φ = 11002425384960.

The previous prime is 48136198924763. The next prime is 48136198924811. The reversal of 48136198924800 is 842989163184.

48136198924800 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 61 + 9 + 8 + 92 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587824659 + ... + 587906541.

Almost surely, 2^{48136198924800} is an apocalyptic number.

48136198924800 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 48136198924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102219934962288).

48136198924800 is an abundant number, since it is smaller than the sum of its proper divisors (156303670999776).

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

48136198924800 is an frugal number, since it uses more digits than its factorization.

48136198924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81942 (or 81900 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 48136198924800 in words is "forty-eight trillion, one hundred thirty-six billion, one hundred ninety-eight million, nine hundred twenty-four thousand, eight hundred".