21842593920 has 512 divisors, whose sum is σ = 88833024000. Its totient is φ = 4968787968.

The previous prime is 21842593901. The next prime is 21842593991. The reversal of 21842593920 is 2939524812.

21842593920 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 259 + 392 + 0 = 666.

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

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, 43424389 + ... + 43424891.

It is an arithmetic number, because the mean of its divisors is an integer number (173502000).

Almost surely, 2^21842593920 is an apocalyptic number.

21842593920 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 21842593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512000).

21842593920 is an abundant number, since it is smaller than the sum of its proper divisors (66990430080).

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

21842593920 is a wasteful number, since it uses less digits than its factorization.

21842593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21842593920 in words is "twenty-one billion, eight hundred forty-two million, five hundred ninety-three thousand, nine hundred twenty".