125901825840 has 480 divisors, whose sum is σ = 498895068672. Its totient is φ = 27855360000.

The previous prime is 125901825839. The next prime is 125901825857. The reversal of 125901825840 is 48528109521.

125901825840 is a `hidden beast` number, since 1 + 2 + 59 + 0 + 18 + 2 + 584 + 0 = 666.

125901825840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27067515 + ... + 27072165.

Almost surely, 2^125901825840 is an apocalyptic number.

125901825840 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 125901825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249447534336).

125901825840 is an abundant number, since it is smaller than the sum of its proper divisors (372993242832).

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

125901825840 is a wasteful number, since it uses less digits than its factorization.

125901825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 125901825840 in words is "one hundred twenty-five billion, nine hundred one million, eight hundred twenty-five thousand, eight hundred forty".