125279296896 has 256 divisors, whose sum is σ = 379100413440. Its totient is φ = 36363976704.

The previous prime is 125279296889. The next prime is 125279296897. The reversal of 125279296896 is 698692972521.

It is a super-2 number, since 2×125279296896² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125279296897) 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, 8374095 + ... + 8389041.

It is an arithmetic number, because the mean of its divisors is an integer number (1480860990).

Almost surely, 2^125279296896 is an apocalyptic number.

125279296896 is a gapful number since it is divisible by the number (16) 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 125279296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189550206720).

125279296896 is an abundant number, since it is smaller than the sum of its proper divisors (253821116544).

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

125279296896 is a wasteful number, since it uses less digits than its factorization.

125279296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15073 (or 15061 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 125279296896 in words is "one hundred twenty-five billion, two hundred seventy-nine million, two hundred ninety-six thousand, eight hundred ninety-six".