104953209560640 has 168 divisors, whose sum is σ = 412566069090240. Its totient is φ = 23989305037824.

The previous prime is 104953209560603. The next prime is 104953209560669. The reversal of 104953209560640 is 46065902359401.

104953209560640 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 3 + 20 + 9 + 5 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×104953209560640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602986030 + ... + 2603026349.

Almost surely, 2^{104953209560640} is an apocalyptic number.

104953209560640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104953209560640 is an abundant number, since it is smaller than the sum of its proper divisors (307612859529600).

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

104953209560640 is a wasteful number, since it uses less digits than its factorization.

104953209560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206012409 (or 5206012396 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 104953209560640 in words is "one hundred four trillion, nine hundred fifty-three billion, two hundred nine million, five hundred sixty thousand, six hundred forty".