104627396624960 has 224 divisors, whose sum is σ = 282986877930624. Its totient is φ = 36509865984000.

The previous prime is 104627396624957. The next prime is 104627396624977. The reversal of 104627396624960 is 69426693726401.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2861159 + ... + 14745881.

It is an arithmetic number, because the mean of its divisors is an integer number (1263334276476).

Almost surely, 2^{104627396624960} is an apocalyptic number.

104627396624960 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 104627396624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141493438965312).

104627396624960 is an abundant number, since it is smaller than the sum of its proper divisors (178359481305664).

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

104627396624960 is a wasteful number, since it uses less digits than its factorization.

104627396624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884853 (or 11884843 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 65.

The spelling of 104627396624960 in words is "one hundred four trillion, six hundred twenty-seven billion, three hundred ninety-six million, six hundred twenty-four thousand, nine hundred sixty".