21860390445120 has 560 divisors, whose sum is σ = 78728982750000. Its totient is φ = 5757327507456.

The previous prime is 21860390445043. The next prime is 21860390445143. The reversal of 21860390445120 is 2154409306812.

21860390445120 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 0 + 3 + 90 + 44 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2868714537984 + 18991675907136 = 1693728^2 + 4357944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 699539256 + ... + 699570504.

Almost surely, 2^{21860390445120} is an apocalyptic number.

21860390445120 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 21860390445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39364491375000).

21860390445120 is an abundant number, since it is smaller than the sum of its proper divisors (56868592304880).

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

21860390445120 is a wasteful number, since it uses less digits than its factorization.

21860390445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31612 (or 31593 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21860390445120 in words is "twenty-one trillion, eight hundred sixty billion, three hundred ninety million, four hundred forty-five thousand, one hundred twenty".