21987826574400 has 336 divisors, whose sum is σ = 84868702073280. Its totient is φ = 5518513152000.

The previous prime is 21987826574387. The next prime is 21987826574471. The reversal of 21987826574400 is 447562878912.

It is a happy number.

21987826574400 is a `hidden beast` number, since 2 + 1 + 9 + 87 + 82 + 6 + 5 + 74 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14235526 + ... + 15704325.

Almost surely, 2^{21987826574400} is an apocalyptic number.

21987826574400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21987826574400 is an abundant number, since it is smaller than the sum of its proper divisors (62880875498880).

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

21987826574400 is a wasteful number, since it uses less digits than its factorization.

21987826574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29939899 (or 29939878 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 21987826574400 in words is "twenty-one trillion, nine hundred eighty-seven billion, eight hundred twenty-six million, five hundred seventy-four thousand, four hundred".