882972953984 has 128 divisors (see below), whose sum is σ = 2022000019200. Its totient is φ = 379843430400.

The previous prime is 882972953971. The next prime is 882972954053. The reversal of 882972953984 is 489359279288.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27297629 + ... + 27329955.

It is an arithmetic number, because the mean of its divisors is an integer number (15796875150).

Almost surely, 2^882972953984 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 882972953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011000009600).

882972953984 is an abundant number, since it is smaller than the sum of its proper divisors (1139027065216).

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

882972953984 is a wasteful number, since it uses less digits than its factorization.

882972953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33392 (or 33380 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 74.

The spelling of 882972953984 in words is "eight hundred eighty-two billion, nine hundred seventy-two million, nine hundred fifty-three thousand, nine hundred eighty-four".