21480814867600 has 135 divisors (see below), whose sum is σ = 56728465298841. Its totient is φ = 7810834627200.

The previous prime is 21480814867573. The next prime is 21480814867709. The reversal of 21480814867600 is 676841808412.

The square root of 21480814867600 is 4634740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7733093352336 + 13747721515264 = 2780844^2 + 3707792^2 .

It is a super-2 number, since 2×21480814867600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1019632267 + ... + 1019653333.

Almost surely, 2^{21480814867600} is an apocalyptic number.

21480814867600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21480814867600 is the 4634740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21480814867600

21480814867600 is an abundant number, since it is smaller than the sum of its proper divisors (35247650431241).

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

21480814867600 is an frugal number, since it uses more digits than its factorization.

21480814867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42174 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 21480814867600 in words is "twenty-one trillion, four hundred eighty billion, eight hundred fourteen million, eight hundred sixty-seven thousand, six hundred".