21223932206400 has 4536 divisors, whose sum is σ = 103459543379712. Its totient is φ = 4267904256000.

The previous prime is 21223932206387. The next prime is 21223932206429. The reversal of 21223932206400 is 460223932212.

21223932206400 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 9 + 3 + 2 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 684642974385 + ... + 684642974415.

Almost surely, 2^{21223932206400} is an apocalyptic number.

21223932206400 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 21223932206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51729771689856).

21223932206400 is an abundant number, since it is smaller than the sum of its proper divisors (82235611173312).

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

21223932206400 is an frugal number, since it uses more digits than its factorization.

21223932206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 21223932206400 in words is "twenty-one trillion, two hundred twenty-three billion, nine hundred thirty-two million, two hundred six thousand, four hundred".