882981457920 has 1664 divisors, whose sum is σ = 3566820096000. Its totient is φ = 206108098560.

The previous prime is 882981457867. The next prime is 882981457921. The reversal of 882981457920 is 29754189288.

882981457920 is a `hidden beast` number, since 8 + 8 + 2 + 98 + 1 + 457 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882981457921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11176980441 + ... + 11176980519.

Almost surely, 2^882981457920 is an apocalyptic number.

882981457920 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 882981457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783410048000).

882981457920 is an abundant number, since it is smaller than the sum of its proper divisors (2683838638080).

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

882981457920 is a wasteful number, since it uses less digits than its factorization.

882981457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 882981457920 in words is "eight hundred eighty-two billion, nine hundred eighty-one million, four hundred fifty-seven thousand, nine hundred twenty".