21427254000 has 240 divisors, whose sum is σ = 77611803360. Its totient is φ = 5713804800.

The previous prime is 21427253941. The next prime is 21427254029. The reversal of 21427254000 is 45272412.

21427254000 is a `hidden beast` number, since 214 + 27 + 25 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 463956 + ... + 508044.

It is an arithmetic number, because the mean of its divisors is an integer number (323382514).

Almost surely, 2^21427254000 is an apocalyptic number.

21427254000 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 21427254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38805901680).

21427254000 is an abundant number, since it is smaller than the sum of its proper divisors (56184549360).

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

21427254000 is an equidigital number, since it uses as much as digits as its factorization.

21427254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44127 (or 44099 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 21427254000 in words is "twenty-one billion, four hundred twenty-seven million, two hundred fifty-four thousand".