21309070943160 has 1152 divisors, whose sum is σ = 99627049267200. Its totient is φ = 3872127006720.

The previous prime is 21309070943159. The next prime is 21309070943189. The reversal of 21309070943160 is 6134907090312.

21309070943160 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 90 + 70 + 9 + 431 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47705577 + ... + 48150183.

It is an arithmetic number, because the mean of its divisors is an integer number (86481813600).

Almost surely, 2^{21309070943160} is an apocalyptic number.

21309070943160 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 21309070943160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49813524633600).

21309070943160 is an abundant number, since it is smaller than the sum of its proper divisors (78317978324040).

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

21309070943160 is a wasteful number, since it uses less digits than its factorization.

21309070943160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444681 (or 444667 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 21309070943160 in words is "twenty-one trillion, three hundred nine billion, seventy million, nine hundred forty-three thousand, one hundred sixty".