125510322400 has 144 divisors (see below), whose sum is σ = 312474531600. Its totient is φ = 49213992960.

The previous prime is 125510322383. The next prime is 125510322403. The reversal of 125510322400 is 4223015521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125510322403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17602036 + ... + 17609164.

It is an arithmetic number, because the mean of its divisors is an integer number (2169962025).

Almost surely, 2^125510322400 is an apocalyptic number.

125510322400 is a gapful number since it is divisible by the number (10) 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 125510322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156237265800).

125510322400 is an abundant number, since it is smaller than the sum of its proper divisors (186964209200).

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

125510322400 is a wasteful number, since it uses less digits than its factorization.

125510322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 125510322400 its reverse (4223015521), we get a palindrome (129733337921).

The spelling of 125510322400 in words is "one hundred twenty-five billion, five hundred ten million, three hundred twenty-two thousand, four hundred".