21309160042800 has 1080 divisors, whose sum is σ = 90502818823872. Its totient is φ = 4623381504000.

The previous prime is 21309160042769. The next prime is 21309160042801. The reversal of 21309160042800 is 824006190312.

21309160042800 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 1 + 600 + 42 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21309160042801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 267558985 + ... + 267638615.

Almost surely, 2^{21309160042800} is an apocalyptic number.

21309160042800 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 21309160042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45251409411936).

21309160042800 is an abundant number, since it is smaller than the sum of its proper divisors (69193658781072).

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

21309160042800 is a wasteful number, since it uses less digits than its factorization.

21309160042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79747 (or 79726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21309160042800 in words is "twenty-one trillion, three hundred nine billion, one hundred sixty million, forty-two thousand, eight hundred".