21195020396160 has 1536 divisors, whose sum is σ = 85939831111680. Its totient is φ = 4770235514880.

The previous prime is 21195020396119. The next prime is 21195020396161. The reversal of 21195020396160 is 6169302059112.

21195020396160 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 5 + 0 + 20 + 3 + 9 + 616 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21195020396161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4431321129 + ... + 4431325911.

It is an arithmetic number, because the mean of its divisors is an integer number (55950410880).

Almost surely, 2^{21195020396160} is an apocalyptic number.

21195020396160 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 21195020396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42969915555840).

21195020396160 is an abundant number, since it is smaller than the sum of its proper divisors (64744810715520).

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

21195020396160 is a wasteful number, since it uses less digits than its factorization.

21195020396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 21195020396160 in words is "twenty-one trillion, one hundred ninety-five billion, twenty million, three hundred ninety-six thousand, one hundred sixty".