21373225574400 has 2688 divisors, whose sum is σ = 96431187294720. Its totient is φ = 4586471424000.

The previous prime is 21373225574399. The next prime is 21373225574411. The reversal of 21373225574400 is 447552237312.

21373225574400 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 32 + 2 + 5 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53299814200 + ... + 53299814600.

Almost surely, 2^{21373225574400} is an apocalyptic number.

21373225574400 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 21373225574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48215593647360).

21373225574400 is an abundant number, since it is smaller than the sum of its proper divisors (75057961720320).

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

21373225574400 is an frugal number, since it uses more digits than its factorization.

21373225574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 21373225574400 in words is "twenty-one trillion, three hundred seventy-three billion, two hundred twenty-five million, five hundred seventy-four thousand, four hundred".