104164980480 has 864 divisors, whose sum is σ = 415855560960. Its totient is φ = 24485068800.

The previous prime is 104164980461. The next prime is 104164980527. The reversal of 104164980480 is 84089461401.

104164980480 is a `hidden beast` number, since 1 + 0 + 4 + 164 + 9 + 8 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639048879 + ... + 639049041.

Almost surely, 2^104164980480 is an apocalyptic number.

104164980480 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 104164980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207927780480).

104164980480 is an abundant number, since it is smaller than the sum of its proper divisors (311690580480).

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

104164980480 is a wasteful number, since it uses less digits than its factorization.

104164980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 104164980480 in words is "one hundred four billion, one hundred sixty-four million, nine hundred eighty thousand, four hundred eighty".