125268813824 has 192 divisors, whose sum is σ = 313992806400. Its totient is φ = 48538828800.

The previous prime is 125268813821. The next prime is 125268813881. The reversal of 125268813824 is 428318862521.

It is not an unprimeable number, because it can be changed into a prime (125268813821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30117857 + ... + 30122015.

It is an arithmetic number, because the mean of its divisors is an integer number (1635379200).

Almost surely, 2^125268813824 is an apocalyptic number.

125268813824 is a gapful number since it is divisible by the number (14) 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 125268813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156996403200).

125268813824 is an abundant number, since it is smaller than the sum of its proper divisors (188723992576).

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

125268813824 is a wasteful number, since it uses less digits than its factorization.

125268813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4370 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The spelling of 125268813824 in words is "one hundred twenty-five billion, two hundred sixty-eight million, eight hundred thirteen thousand, eight hundred twenty-four".