22781852121600 has 3600 divisors, whose sum is σ = 101887733168760. Its totient is φ = 4992565248000.

The previous prime is 22781852121541. The next prime is 22781852121617. The reversal of 22781852121600 is 612125818722.

22781852121600 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 18 + 5 + 2 + 1 + 21 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4217723136 + 22777634398464 = 64944^2 + 4772592^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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 359 ways as a sum of consecutive naturals, for example, 99484070286 + ... + 99484070514.

Almost surely, 2^{22781852121600} is an apocalyptic number.

22781852121600 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 22781852121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50943866584380).

22781852121600 is an abundant number, since it is smaller than the sum of its proper divisors (79105881047160).

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

22781852121600 is a wasteful number, since it uses less digits than its factorization.

22781852121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 22781852121600 in words is "twenty-two trillion, seven hundred eighty-one billion, eight hundred fifty-two million, one hundred twenty-one thousand, six hundred".