916069008960 has 672 divisors, whose sum is σ = 3735814118400. Its totient is φ = 201679994880.

The previous prime is 916069008937. The next prime is 916069008971. The reversal of 916069008960 is 69800960619.

916069008960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 916069008897 and 916069008906.

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, 65291226 + ... + 65305254.

It is an arithmetic number, because the mean of its divisors is an integer number (5559247200).

Almost surely, 2^916069008960 is an apocalyptic number.

916069008960 is a gapful number since it is divisible by the number (90) 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 916069008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867907059200).

916069008960 is an abundant number, since it is smaller than the sum of its proper divisors (2819745109440).

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

916069008960 is a wasteful number, since it uses less digits than its factorization.

916069008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14166 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 916069008960 in words is "nine hundred sixteen billion, sixty-nine million, eight thousand, nine hundred sixty".