21595899206400 has 432 divisors, whose sum is σ = 71788259007360. Its totient is φ = 5717216460800.

The previous prime is 21595899206369. The next prime is 21595899206471. The reversal of 21595899206400 is 460299859512.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2202983899 + ... + 2202993701.

It is an arithmetic number, because the mean of its divisors is an integer number (166176525480).

Almost surely, 2^{21595899206400} is an apocalyptic number.

21595899206400 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 21595899206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35894129503680).

21595899206400 is an abundant number, since it is smaller than the sum of its proper divisors (50192359800960).

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

21595899206400 is a wasteful number, since it uses less digits than its factorization.

21595899206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 21595899206400 in words is "twenty-one trillion, five hundred ninety-five billion, eight hundred ninety-nine million, two hundred six thousand, four hundred".