21380643382800 has 120 divisors (see below), whose sum is σ = 73757737508224. Its totient is φ = 5262927598080.

The previous prime is 21380643382711. The next prime is 21380643382829. The reversal of 21380643382800 is 828334608312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21380643382800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21380643382800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685261432 + ... + 685292631.

Almost surely, 2^{21380643382800} is an apocalyptic number.

21380643382800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21380643382800 is an abundant number, since it is smaller than the sum of its proper divisors (52377094125424).

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

21380643382800 is a wasteful number, since it uses less digits than its factorization.

21380643382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370554097 (or 1370554086 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 21380643382800 in words is "twenty-one trillion, three hundred eighty billion, six hundred forty-three million, three hundred eighty-two thousand, eight hundred".