21879851875200 has 576 divisors, whose sum is σ = 85199296338000. Its totient is φ = 5302370304000.

The previous prime is 21879851875171. The next prime is 21879851875309. The reversal of 21879851875200 is 257815897812.

21879851875200 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 98 + 5 + 18 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1064754526 + ... + 1064775074.

Almost surely, 2^{21879851875200} is an apocalyptic number.

21879851875200 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 21879851875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42599648169000).

21879851875200 is an abundant number, since it is smaller than the sum of its proper divisors (63319444462800).

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

21879851875200 is a wasteful number, since it uses less digits than its factorization.

21879851875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23951 (or 23931 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 21879851875200 in words is "twenty-one trillion, eight hundred seventy-nine billion, eight hundred fifty-one million, eight hundred seventy-five thousand, two hundred".