21892792320 has 768 divisors, whose sum is σ = 91444917600. Its totient is φ = 4954521600.

The previous prime is 21892792297. The next prime is 21892792349. The reversal of 21892792320 is 2329729812.

It is a happy number.

21892792320 is a `hidden beast` number, since 218 + 9 + 27 + 92 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216760270 + ... + 216760370.

Almost surely, 2^21892792320 is an apocalyptic number.

21892792320 is a gapful number since it is divisible by the number (20) 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 21892792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722458800).

21892792320 is an abundant number, since it is smaller than the sum of its proper divisors (69552125280).

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

21892792320 is an equidigital number, since it uses as much as digits as its factorization.

21892792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21892792320 in words is "twenty-one billion, eight hundred ninety-two million, seven hundred ninety-two thousand, three hundred twenty".