21311925475200 has 768 divisors, whose sum is σ = 72317378534400. Its totient is φ = 5514868817920.

The previous prime is 21311925475157. The next prime is 21311925475277. The reversal of 21311925475200 is 257452911312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10330549369 + ... + 10330551431.

It is an arithmetic number, because the mean of its divisors is an integer number (94163253300).

Almost surely, 2^{21311925475200} is an apocalyptic number.

21311925475200 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 21311925475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158689267200).

21311925475200 is an abundant number, since it is smaller than the sum of its proper divisors (51005453059200).

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

21311925475200 is a wasteful number, since it uses less digits than its factorization.

21311925475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 21311925475200 in words is "twenty-one trillion, three hundred eleven billion, nine hundred twenty-five million, four hundred seventy-five thousand, two hundred".