21133869926400 has 4320 divisors, whose sum is σ = 104121020203200. Its totient is φ = 4115084083200.

The previous prime is 21133869926399. The next prime is 21133869926423. The reversal of 21133869926400 is 462996833112.

21133869926400 is a `hidden beast` number, since 2 + 1 + 133 + 86 + 9 + 9 + 26 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 92287641486 + ... + 92287641714.

It is an arithmetic number, because the mean of its divisors is an integer number (24102088010).

Almost surely, 2^{21133869926400} is an apocalyptic number.

21133869926400 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 21133869926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52060510101600).

21133869926400 is an abundant number, since it is smaller than the sum of its proper divisors (82987150276800).

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

21133869926400 is a wasteful number, since it uses less digits than its factorization.

21133869926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21133869926400 in words is "twenty-one trillion, one hundred thirty-three billion, eight hundred sixty-nine million, nine hundred twenty-six thousand, four hundred".