882867696000 has 512 divisors, whose sum is σ = 3066041272320. Its totient is φ = 224304537600.

The previous prime is 882867695993. The next prime is 882867696043. The reversal of 882867696000 is 696768288.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305806557 + ... + 305809443.

It is an arithmetic number, because the mean of its divisors is an integer number (5988361860).

Almost surely, 2^882867696000 is an apocalyptic number.

882867696000 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 882867696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533020636160).

882867696000 is an abundant number, since it is smaller than the sum of its proper divisors (2183173576320).

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

882867696000 is a wasteful number, since it uses less digits than its factorization.

882867696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 882867696000 in words is "eight hundred eighty-two billion, eight hundred sixty-seven million, six hundred ninety-six thousand".