22725048518400 has 432 divisors, whose sum is σ = 75376151728640. Its totient is φ = 6029475840000.

The previous prime is 22725048518383. The next prime is 22725048518407. The reversal of 22725048518400 is 481584052722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22725048518400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22725048518407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080630816 + ... + 4080636384.

Almost surely, 2^{22725048518400} is an apocalyptic number.

22725048518400 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 22725048518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37688075864320).

22725048518400 is an abundant number, since it is smaller than the sum of its proper divisors (52651103210240).

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

22725048518400 is a wasteful number, since it uses less digits than its factorization.

22725048518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 48.

The spelling of 22725048518400 in words is "twenty-two trillion, seven hundred twenty-five billion, forty-eight million, five hundred eighteen thousand, four hundred".