21189825360 has 120 divisors (see below), whose sum is σ = 77631843744. Its totient is φ = 5136925440.

The previous prime is 21189825347. The next prime is 21189825367. The reversal of 21189825360 is 6352898112.

21189825360 is a `hidden beast` number, since 21 + 1 + 8 + 98 + 2 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21189825367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329822 + ... + 1345661.

Almost surely, 2^21189825360 is an apocalyptic number.

21189825360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21189825360 is an abundant number, since it is smaller than the sum of its proper divisors (56442018384).

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

21189825360 is a wasteful number, since it uses less digits than its factorization.

21189825360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675513 (or 2675504 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21189825360 in words is "twenty-one billion, one hundred eighty-nine million, eight hundred twenty-five thousand, three hundred sixty".