104911639560 has 768 divisors, whose sum is σ = 454405593600. Its totient is φ = 20963100672.

The previous prime is 104911639549. The next prime is 104911639621. The reversal of 104911639560 is 65936119401.

104911639560 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 1 + 1 + 639 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×104911639560² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 35477602 + ... + 35480558.

It is an arithmetic number, because the mean of its divisors is an integer number (591673950).

Almost surely, 2^104911639560 is an apocalyptic number.

104911639560 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 104911639560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227202796800).

104911639560 is an abundant number, since it is smaller than the sum of its proper divisors (349493954040).

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

104911639560 is a wasteful number, since it uses less digits than its factorization.

104911639560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 104911639560 in words is "one hundred four billion, nine hundred eleven million, six hundred thirty-nine thousand, five hundred sixty".