22875213312000 has 2496 divisors, whose sum is σ = 98791008825600. Its totient is φ = 5086642176000.

The previous prime is 22875213311981. The next prime is 22875213312031. The reversal of 22875213312000 is 21331257822.

22875213312000 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 521 + 3 + 3 + 120 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64802303824 + ... + 64802304176.

It is an arithmetic number, because the mean of its divisors is an integer number (39579731100).

Almost surely, 2^{22875213312000} is an apocalyptic number.

22875213312000 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 22875213312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49395504412800).

22875213312000 is an abundant number, since it is smaller than the sum of its proper divisors (75915795513600).

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

22875213312000 is an equidigital number, since it uses as much as digits as its factorization.

22875213312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 22875213312000 its reverse (21331257822), we get a palindrome (22896544569822).

The spelling of 22875213312000 in words is "twenty-two trillion, eight hundred seventy-five billion, two hundred thirteen million, three hundred twelve thousand".