104573626560 has 448 divisors, whose sum is σ = 398180966400. Its totient is φ = 25683554304.

The previous prime is 104573626543. The next prime is 104573626579. The reversal of 104573626560 is 65626375401.

104573626560 is a `hidden beast` number, since 1 + 0 + 4 + 57 + 36 + 2 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72670321 + ... + 72671759.

It is an arithmetic number, because the mean of its divisors is an integer number (888796800).

Almost surely, 2^104573626560 is an apocalyptic number.

104573626560 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 104573626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199090483200).

104573626560 is an abundant number, since it is smaller than the sum of its proper divisors (293607339840).

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

104573626560 is a wasteful number, since it uses less digits than its factorization.

104573626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 104573626560 in words is "one hundred four billion, five hundred seventy-three million, six hundred twenty-six thousand, five hundred sixty".