21163042575360 has 440 divisors, whose sum is σ = 86670159480960. Its totient is φ = 4837266210816.

The previous prime is 21163042575347. The next prime is 21163042575361. The reversal of 21163042575360 is 6357524036112.

21163042575360 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 3 + 0 + 42 + 575 + 36 + 0 = 666.

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 (21163042575361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741940 + ... + 6548019.

It is an arithmetic number, because the mean of its divisors is an integer number (196977635184).

Almost surely, 2^{21163042575360} is an apocalyptic number.

21163042575360 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 21163042575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43335079740480).

21163042575360 is an abundant number, since it is smaller than the sum of its proper divisors (65507116905600).

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

21163042575360 is an equidigital number, since it uses as much as digits as its factorization.

21163042575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290003 (or 7289976 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 21163042575360 in words is "twenty-one trillion, one hundred sixty-three billion, forty-two million, five hundred seventy-five thousand, three hundred sixty".