21799813075200 has 648 divisors, whose sum is σ = 82585887602400. Its totient is φ = 5467217264640.

The previous prime is 21799813075177. The next prime is 21799813075267. The reversal of 21799813075200 is 257031899712.

It is a happy number.

21799813075200 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 9 + 81 + 30 + 7 + 520 + 0 = 666.

It is a super-2 number, since 2×21799813075200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1428645171 + ... + 1428660429.

Almost surely, 2^{21799813075200} is an apocalyptic number.

21799813075200 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 21799813075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292943801200).

21799813075200 is an abundant number, since it is smaller than the sum of its proper divisors (60786074527200).

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

21799813075200 is a wasteful number, since it uses less digits than its factorization.

21799813075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 21799813075200 in words is "twenty-one trillion, seven hundred ninety-nine billion, eight hundred thirteen million, seventy-five thousand, two hundred".