21813442560 has 1440 divisors, whose sum is σ = 102222600480. Its totient is φ = 4331667456.

The previous prime is 21813442549. The next prime is 21813442571. The reversal of 21813442560 is 6524431812.

It is a happy number.

21813442560 is a `hidden beast` number, since 21 + 8 + 1 + 34 + 42 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (21813442549) and next prime (21813442571).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1283143672 + ... + 1283143688.

It is an arithmetic number, because the mean of its divisors is an integer number (70987917).

Almost surely, 2^21813442560 is an apocalyptic number.

21813442560 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 21813442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51111300240).

21813442560 is an abundant number, since it is smaller than the sum of its proper divisors (80409157920).

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

21813442560 is a wasteful number, since it uses less digits than its factorization.

21813442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21813442560 in words is "twenty-one billion, eight hundred thirteen million, four hundred forty-two thousand, five hundred sixty".