21611214566400 has 264 divisors, whose sum is σ = 75185467946080. Its totient is φ = 5459674890240.

The previous prime is 21611214566377. The next prime is 21611214566411. The reversal of 21611214566400 is 466541211612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5945959 + ... + 8864358.

Almost surely, 2^{21611214566400} is an apocalyptic number.

21611214566400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21611214566400 is an abundant number, since it is smaller than the sum of its proper divisors (53574253379680).

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

21611214566400 is a wasteful number, since it uses less digits than its factorization.

21611214566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810369 (or 14810346 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 21611214566400 in words is "twenty-one trillion, six hundred eleven billion, two hundred fourteen million, five hundred sixty-six thousand, four hundred".