880011816960 has 416 divisors, whose sum is σ = 2892332528640. Its totient is φ = 228342104064.

The previous prime is 880011816953. The next prime is 880011816967. The reversal of 880011816960 is 69618110088.

It is an interprime number because it is at equal distance from previous prime (880011816953) and next prime (880011816967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (880011816967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557321451 + ... + 557323029.

Almost surely, 2^880011816960 is an apocalyptic number.

880011816960 is a gapful number since it is divisible by the number (80) 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 880011816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446166264320).

880011816960 is an abundant number, since it is smaller than the sum of its proper divisors (2012320711680).

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

880011816960 is a wasteful number, since it uses less digits than its factorization.

880011816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 880011816960 in words is "eight hundred eighty billion, eleven million, eight hundred sixteen thousand, nine hundred sixty".