21347004016800 has 5184 divisors, whose sum is σ = 107643310387200. Its totient is φ = 4052353536000.

The previous prime is 21347004016787. The next prime is 21347004016847. The reversal of 21347004016800 is 861040074312.

21347004016800 is a `hidden beast` number, since 21 + 3 + 470 + 0 + 4 + 0 + 168 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 75431109459 + ... + 75431109741.

Almost surely, 2^{21347004016800} is an apocalyptic number.

21347004016800 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 21347004016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53821655193600).

21347004016800 is an abundant number, since it is smaller than the sum of its proper divisors (86296306370400).

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

21347004016800 is a wasteful number, since it uses less digits than its factorization.

21347004016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21347004016800 in words is "twenty-one trillion, three hundred forty-seven billion, four million, sixteen thousand, eight hundred".