21454225920 has 320 divisors, whose sum is σ = 77191488000. Its totient is φ = 5647269888.

The previous prime is 21454225889. The next prime is 21454225931. The reversal of 21454225920 is 2952245412.

21454225920 is a `hidden beast` number, since 2 + 1 + 4 + 542 + 25 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5458516 + ... + 5462444.

It is an arithmetic number, because the mean of its divisors is an integer number (241223400).

Almost surely, 2^21454225920 is an apocalyptic number.

21454225920 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 21454225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38595744000).

21454225920 is an abundant number, since it is smaller than the sum of its proper divisors (55737262080).

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

21454225920 is an equidigital number, since it uses as much as digits as its factorization.

21454225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21454225920 in words is "twenty-one billion, four hundred fifty-four million, two hundred twenty-five thousand, nine hundred twenty".