10917099648000 has 6336 divisors, whose sum is σ = 55654202822400. Its totient is φ = 2106910310400.

The previous prime is 10917099647989. The next prime is 10917099648017. The reversal of 10917099648000 is 84699071901.

10917099648000 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 70 + 9 + 96 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 376451711986 + ... + 376451712014.

Almost surely, 2^{10917099648000} is an apocalyptic number.

10917099648000 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 10917099648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827101411200).

10917099648000 is an abundant number, since it is smaller than the sum of its proper divisors (44737103174400).

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

10917099648000 is a wasteful number, since it uses less digits than its factorization.

10917099648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10917099648000 in words is "ten trillion, nine hundred seventeen billion, ninety-nine million, six hundred forty-eight thousand".