48422721196800 has 648 divisors, whose sum is σ = 179637365806080. Its totient is φ = 12905298432000.

The previous prime is 48422721196781. The next prime is 48422721196819. The reversal of 48422721196800 is 869112722484.

48422721196800 is a `hidden beast` number, since 4 + 8 + 422 + 7 + 21 + 196 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48422721196781) and next prime (48422721196819).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3034187221 + ... + 3034203179.

Almost surely, 2^{48422721196800} is an apocalyptic number.

48422721196800 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 48422721196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89818682903040).

48422721196800 is an abundant number, since it is smaller than the sum of its proper divisors (131214644609280).

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

48422721196800 is a wasteful number, since it uses less digits than its factorization.

48422721196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48422721196800 in words is "forty-eight trillion, four hundred twenty-two billion, seven hundred twenty-one million, one hundred ninety-six thousand, eight hundred".