22753062348800 has 864 divisors, whose sum is σ = 66910333089600. Its totient is φ = 7649533624320.

The previous prime is 22753062348767. The next prime is 22753062348817. The reversal of 22753062348800 is 884326035722.

It is a super-2 number, since 2×22753062348800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51829298981 + ... + 51829299419.

It is an arithmetic number, because the mean of its divisors is an integer number (77442515150).

Almost surely, 2^{22753062348800} is an apocalyptic number.

22753062348800 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 22753062348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33455166544800).

22753062348800 is an abundant number, since it is smaller than the sum of its proper divisors (44157270740800).

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

22753062348800 is a wasteful number, since it uses less digits than its factorization.

22753062348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 22753062348800 in words is "twenty-two trillion, seven hundred fifty-three billion, sixty-two million, three hundred forty-eight thousand, eight hundred".