125806408320 has 512 divisors, whose sum is σ = 447633838080. Its totient is φ = 29890510848.

The previous prime is 125806408279. The next prime is 125806408331. The reversal of 125806408320 is 23804608521.

125806408320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77323347 + ... + 77324973.

It is an arithmetic number, because the mean of its divisors is an integer number (874284840).

Almost surely, 2^125806408320 is an apocalyptic number.

125806408320 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 125806408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223816919040).

125806408320 is an abundant number, since it is smaller than the sum of its proper divisors (321827429760).

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

125806408320 is a wasteful number, since it uses less digits than its factorization.

125806408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 125806408320 in words is "one hundred twenty-five billion, eight hundred six million, four hundred eight thousand, three hundred twenty".