10916071904160 has 576 divisors, whose sum is σ = 39254233374720. Its totient is φ = 2757005475840.

The previous prime is 10916071904119. The next prime is 10916071904167. The reversal of 10916071904160 is 6140917061901.

10916071904160 is a `hidden beast` number, since 1 + 0 + 9 + 160 + 71 + 9 + 0 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10916071904167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393348280 + ... + 2393352840.

It is an arithmetic number, because the mean of its divisors is an integer number (68149710720).

Almost surely, 2^{10916071904160} is an apocalyptic number.

10916071904160 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 10916071904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627116687360).

10916071904160 is an abundant number, since it is smaller than the sum of its proper divisors (28338161470560).

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

10916071904160 is a wasteful number, since it uses less digits than its factorization.

10916071904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10916071904160 in words is "ten trillion, nine hundred sixteen billion, seventy-one million, nine hundred four thousand, one hundred sixty".