21274552320 has 768 divisors, whose sum is σ = 84536524800. Its totient is φ = 4459069440.

The previous prime is 21274552309. The next prime is 21274552331. The reversal of 21274552320 is 2325547212.

It is an interprime number because it is at equal distance from previous prime (21274552309) and next prime (21274552331).

It is a tau number, because it is divible by the number of its divisors (768).

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, 167516097 + ... + 167516223.

It is an arithmetic number, because the mean of its divisors is an integer number (110073600).

Almost surely, 2^21274552320 is an apocalyptic number.

21274552320 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 21274552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42268262400).

21274552320 is an abundant number, since it is smaller than the sum of its proper divisors (63261972480).

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

21274552320 is a wasteful number, since it uses less digits than its factorization.

21274552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 21274552320 in words is "twenty-one billion, two hundred seventy-four million, five hundred fifty-two thousand, three hundred twenty".