104222764800 has 1620 divisors, whose sum is σ = 490338131976. Its totient is φ = 21598617600.

The previous prime is 104222764753. The next prime is 104222764829. The reversal of 104222764800 is 8467222401.

104222764800 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 2 + 7 + 648 + 0 + 0 = 666.

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

It is a super-2 number, since 2×104222764800² (a number of 23 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 179 ways as a sum of consecutive naturals, for example, 279417414 + ... + 279417786.

Almost surely, 2^104222764800 is an apocalyptic number.

104222764800 is a gapful number since it is divisible by the number (10) 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 104222764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245169065988).

104222764800 is an abundant number, since it is smaller than the sum of its proper divisors (386115367176).

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

104222764800 is a wasteful number, since it uses less digits than its factorization.

104222764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 104222764800 in words is "one hundred four billion, two hundred twenty-two million, seven hundred sixty-four thousand, eight hundred".