10916964000 has 384 divisors, whose sum is σ = 39991311360. Its totient is φ = 2892672000.

The previous prime is 10916963983. The next prime is 10916964011. The reversal of 10916964000 is 46961901.

10916964000 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 6 + 9 + 640 + 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 63 ways as a sum of consecutive naturals, for example, 29267814 + ... + 29268186.

It is an arithmetic number, because the mean of its divisors is an integer number (104144040).

Almost surely, 2^10916964000 is an apocalyptic number.

10916964000 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 10916964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19995655680).

10916964000 is an abundant number, since it is smaller than the sum of its proper divisors (29074347360).

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

10916964000 is a wasteful number, since it uses less digits than its factorization.

10916964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10916964000 in words is "ten billion, nine hundred sixteen million, nine hundred sixty-four thousand".