92821464960 has 512 divisors, whose sum is σ = 351804625920. Its totient is φ = 20375470080.

The previous prime is 92821464889. The next prime is 92821464973. The reversal of 92821464960 is 6946412829.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35251804 + ... + 35254436.

It is an arithmetic number, because the mean of its divisors is an integer number (687118410).

Almost surely, 2^92821464960 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 92821464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175902312960).

92821464960 is an abundant number, since it is smaller than the sum of its proper divisors (258983160960).

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

92821464960 is a wasteful number, since it uses less digits than its factorization.

92821464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 92821464960 in words is "ninety-two billion, eight hundred twenty-one million, four hundred sixty-four thousand, nine hundred sixty".