882744360960 has 1440 divisors, whose sum is σ = 3806417022912. Its totient is φ = 172637552640.

The previous prime is 882744360853. The next prime is 882744360973. The reversal of 882744360960 is 69063447288.

It is a self number, because there is not a number n which added to its sum of digits gives 882744360960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51926138872 + ... + 51926138888.

Almost surely, 2^882744360960 is an apocalyptic number.

882744360960 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 882744360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903208511456).

882744360960 is an abundant number, since it is smaller than the sum of its proper divisors (2923672661952).

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

882744360960 is an frugal number, since it uses more digits than its factorization.

882744360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 882744360960 in words is "eight hundred eighty-two billion, seven hundred forty-four million, three hundred sixty thousand, nine hundred sixty".