125989473600 has 1008 divisors, whose sum is σ = 493754980992. Its totient is φ = 31531991040.

The previous prime is 125989473583. The next prime is 125989473601. The reversal of 125989473600 is 6374989521.

125989473600 is a `hidden beast` number, since 1 + 2 + 598 + 9 + 47 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125989473601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 652795104 + ... + 652795296.

It is a 1-persistent number, because it is pandigital, but 2⋅125989473600 = 251978947200 is not.

Almost surely, 2^125989473600 is an apocalyptic number.

125989473600 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 125989473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246877490496).

125989473600 is an abundant number, since it is smaller than the sum of its proper divisors (367765507392).

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

125989473600 is a wasteful number, since it uses less digits than its factorization.

125989473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 125989473600 in words is "one hundred twenty-five billion, nine hundred eighty-nine million, four hundred seventy-three thousand, six hundred".