882966915072 has 1152 divisors, whose sum is σ = 3072550440960. Its totient is φ = 252912844800.

The previous prime is 882966915059. The next prime is 882966915113. The reversal of 882966915072 is 270519669288.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×882966915072² (a number of 25 digits) contains 22 as substring.

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, 20534114283 + ... + 20534114325.

It is an arithmetic number, because the mean of its divisors is an integer number (2667144480).

Almost surely, 2^882966915072 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 882966915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536275220480).

882966915072 is an abundant number, since it is smaller than the sum of its proper divisors (2189583525888).

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

882966915072 is an equidigital number, since it uses as much as digits as its factorization.

882966915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 882966915072 in words is "eight hundred eighty-two billion, nine hundred sixty-six million, nine hundred fifteen thousand, seventy-two".