21192000399360 has 480 divisors, whose sum is σ = 86809962919680. Its totient is φ = 4843884478464.

The previous prime is 21192000399347. The next prime is 21192000399389. The reversal of 21192000399360 is 6399300029112.

21192000399360 is a `hidden beast` number, since 21 + 1 + 9 + 200 + 0 + 399 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 3981097 + ... + 7631063.

It is an arithmetic number, because the mean of its divisors is an integer number (180854089416).

Almost surely, 2^{21192000399360} is an apocalyptic number.

21192000399360 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 21192000399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404981459840).

21192000399360 is an abundant number, since it is smaller than the sum of its proper divisors (65617962520320).

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

21192000399360 is an equidigital number, since it uses as much as digits as its factorization.

21192000399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650013 (or 3649984 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 21192000399360 in words is "twenty-one trillion, one hundred ninety-two billion, three hundred ninety-nine thousand, three hundred sixty".