125599306752 has 352 divisors, whose sum is σ = 390131343360. Its totient is φ = 39840768000.

The previous prime is 125599306711. The next prime is 125599306759. The reversal of 125599306752 is 257603995521.

125599306752 is a `hidden beast` number, since 1 + 2 + 559 + 9 + 30 + 6 + 7 + 52 = 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 (125599306759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167242377 + ... + 167243127.

It is an arithmetic number, because the mean of its divisors is an integer number (1108327680).

Almost surely, 2^125599306752 is an apocalyptic number.

125599306752 is a gapful number since it is divisible by the number (12) 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 125599306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195065671680).

125599306752 is an abundant number, since it is smaller than the sum of its proper divisors (264532036608).

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

125599306752 is a wasteful number, since it uses less digits than its factorization.

125599306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 125599306752 in words is "one hundred twenty-five billion, five hundred ninety-nine million, three hundred six thousand, seven hundred fifty-two".