22200975360000 has 690 divisors, whose sum is σ = 80229694312482. Its totient is φ = 5913968640000.

The previous prime is 22200975359971. The next prime is 22200975360017. The reversal of 22200975360000 is 6357900222.

22200975360000 is a `hidden beast` number, since 2 + 2 + 200 + 97 + 5 + 360 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7408151691264 + 14792823668736 = 2721792^2 + 3846144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23592959530 + ... + 23592960470.

Almost surely, 2^{22200975360000} is an apocalyptic number.

22200975360000 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 22200975360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40114847156241).

22200975360000 is an abundant number, since it is smaller than the sum of its proper divisors (58028718952482).

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

22200975360000 is an frugal number, since it uses more digits than its factorization.

22200975360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 22200975360000 in words is "twenty-two trillion, two hundred billion, nine hundred seventy-five million, three hundred sixty thousand".