21584057040 has 1120 divisors, whose sum is σ = 95631379200. Its totient is φ = 4499131392.

The previous prime is 21584057029. The next prime is 21584057051. The reversal of 21584057040 is 4075048512.

21584057040 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 40 + 570 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21584057029) and next prime (21584057051).

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

It is a junction number, because it is equal to n+sod(n) for n = 21584056986 and 21584057004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 260048839 + ... + 260048921.

It is an arithmetic number, because the mean of its divisors is an integer number (85385160).

Almost surely, 2^21584057040 is an apocalyptic number.

21584057040 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 21584057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47815689600).

21584057040 is an abundant number, since it is smaller than the sum of its proper divisors (74047322160).

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

21584057040 is an equidigital number, since it uses as much as digits as its factorization.

21584057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 21584057040 in words is "twenty-one billion, five hundred eighty-four million, fifty-seven thousand, forty".