21118125600 has 1440 divisors, whose sum is σ = 94328587584. Its totient is φ = 4528742400.

The previous prime is 21118125599. The next prime is 21118125617. The reversal of 21118125600 is 652181112.

21118125600 is a `hidden beast` number, since 21 + 1 + 1 + 81 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 398455174 + ... + 398455226.

Almost surely, 2^21118125600 is an apocalyptic number.

21118125600 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 21118125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47164293792).

21118125600 is an abundant number, since it is smaller than the sum of its proper divisors (73210461984).

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

21118125600 is a wasteful number, since it uses less digits than its factorization.

21118125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 21118125600 in words is "twenty-one billion, one hundred eighteen million, one hundred twenty-five thousand, six hundred".