21374465200 has 120 divisors (see below), whose sum is σ = 56083575600. Its totient is φ = 7763788800.

The previous prime is 21374465173. The next prime is 21374465221. The reversal of 21374465200 is 256447312.

It is a super-2 number, since 2×21374465200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4912626 + ... + 4916974.

It is an arithmetic number, because the mean of its divisors is an integer number (467363130).

Almost surely, 2^21374465200 is an apocalyptic number.

21374465200 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 21374465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041787800).

21374465200 is an abundant number, since it is smaller than the sum of its proper divisors (34709110400).

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

21374465200 is a wasteful number, since it uses less digits than its factorization.

21374465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 21374465200 in words is "twenty-one billion, three hundred seventy-four million, four hundred sixty-five thousand, two hundred".