125088322760 has 192 divisors, whose sum is σ = 301419921600. Its totient is φ = 46662368256.

The previous prime is 125088322739. The next prime is 125088322769. The reversal of 125088322760 is 67223880521.

It is not an unprimeable number, because it can be changed into a prime (125088322769) 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, 360484907 + ... + 360485253.

It is an arithmetic number, because the mean of its divisors is an integer number (1569895425).

Almost surely, 2^125088322760 is an apocalyptic number.

125088322760 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 125088322760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709960800).

125088322760 is an abundant number, since it is smaller than the sum of its proper divisors (176331598840).

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

125088322760 is a wasteful number, since it uses less digits than its factorization.

125088322760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 125088322760 in words is "one hundred twenty-five billion, eighty-eight million, three hundred twenty-two thousand, seven hundred sixty".