882138974976 has 1296 divisors, whose sum is σ = 3328493750400. Its totient is φ = 229126496256.

The previous prime is 882138974909. The next prime is 882138975013. The reversal of 882138974976 is 679479831288.

882138974976 is a `hidden beast` number, since 88 + 21 + 38 + 9 + 7 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5411895471 + ... + 5411895633.

Almost surely, 2^882138974976 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 882138974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664246875200).

882138974976 is an abundant number, since it is smaller than the sum of its proper divisors (2446354775424).

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

882138974976 is a wasteful number, since it uses less digits than its factorization.

882138974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 223 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 882138974976 in words is "eight hundred eighty-two billion, one hundred thirty-eight million, nine hundred seventy-four thousand, nine hundred seventy-six".