125520002400 has 576 divisors, whose sum is σ = 449056258560. Its totient is φ = 30269030400.

The previous prime is 125520002383. The next prime is 125520002411. The reversal of 125520002400 is 4200025521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 446690260 + ... + 446690540.

It is an arithmetic number, because the mean of its divisors is an integer number (779611560).

Almost surely, 2^125520002400 is an apocalyptic number.

125520002400 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 125520002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224528129280).

125520002400 is an abundant number, since it is smaller than the sum of its proper divisors (323536256160).

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

125520002400 is a wasteful number, since it uses less digits than its factorization.

125520002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 125520002400 its reverse (4200025521), we get a palindrome (129720027921).

The spelling of 125520002400 in words is "one hundred twenty-five billion, five hundred twenty million, two thousand, four hundred".