22755718658400 has 1728 divisors, whose sum is σ = 95693576344128. Its totient is φ = 4652109987840.

The previous prime is 22755718658353. The next prime is 22755718658411. The reversal of 22755718658400 is 485681755722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16573720114 + ... + 16573721486.

It is an arithmetic number, because the mean of its divisors is an integer number (55378227051).

Almost surely, 2^{22755718658400} is an apocalyptic number.

22755718658400 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 22755718658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47846788172064).

22755718658400 is an abundant number, since it is smaller than the sum of its proper divisors (72937857685728).

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

22755718658400 is a wasteful number, since it uses less digits than its factorization.

22755718658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 22755718658400 in words is "twenty-two trillion, seven hundred fifty-five billion, seven hundred eighteen million, six hundred fifty-eight thousand, four hundred".