880311735072 has 1920 divisors, whose sum is σ = 3555954597888. Its totient is φ = 206928691200.

The previous prime is 880311735019. The next prime is 880311735091. The reversal of 880311735072 is 270537113088.

It is a super-2 number, since 2×880311735072² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12059064828 + ... + 12059064900.

Almost surely, 2^880311735072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880311735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777977298944).

880311735072 is an abundant number, since it is smaller than the sum of its proper divisors (2675642862816).

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

880311735072 is a wasteful number, since it uses less digits than its factorization.

880311735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 880311735072 in words is "eight hundred eighty billion, three hundred eleven million, seven hundred thirty-five thousand, seventy-two".