21195518400 has 2016 divisors, whose sum is σ = 103407667200. Its totient is φ = 4180377600.

The previous prime is 21195518269. The next prime is 21195518401. The reversal of 21195518400 is 481559112.

21195518400 is a `hidden beast` number, since 2 + 11 + 95 + 518 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21195518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 683726385 + ... + 683726415.

Almost surely, 2^21195518400 is an apocalyptic number.

21195518400 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 21195518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51703833600).

21195518400 is an abundant number, since it is smaller than the sum of its proper divisors (82212148800).

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

21195518400 is a wasteful number, since it uses less digits than its factorization.

21195518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 21195518400 in words is "twenty-one billion, one hundred ninety-five million, five hundred eighteen thousand, four hundred".