104400576000 has 1440 divisors, whose sum is σ = 456936191712. Its totient is φ = 23688806400.

The previous prime is 104400575999. The next prime is 104400576023. The reversal of 104400576000 is 675004401.

104400576000 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 0 + 57 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 762047932 + ... + 762048068.

Almost surely, 2^104400576000 is an apocalyptic number.

104400576000 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 104400576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228468095856).

104400576000 is an abundant number, since it is smaller than the sum of its proper divisors (352535615712).

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

104400576000 is an frugal number, since it uses more digits than its factorization.

104400576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 104400576000 in words is "one hundred four billion, four hundred million, five hundred seventy-six thousand".