10791648000 has 864 divisors, whose sum is σ = 45663875712. Its totient is φ = 2396160000.

The previous prime is 10791647903. The next prime is 10791648011. The reversal of 10791648000 is 84619701.

10791648000 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 648 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106847950 + ... + 106848050.

It is an arithmetic number, because the mean of its divisors is an integer number (52851708).

Almost surely, 2^10791648000 is an apocalyptic number.

10791648000 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 10791648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22831937856).

10791648000 is an abundant number, since it is smaller than the sum of its proper divisors (34872227712).

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

10791648000 is a wasteful number, since it uses less digits than its factorization.

10791648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10791648000 in words is "ten billion, seven hundred ninety-one million, six hundred forty-eight thousand".