125918685900 has 324 divisors, whose sum is σ = 459725054880. Its totient is φ = 28743724800.

The previous prime is 125918685889. The next prime is 125918685911. The reversal of 125918685900 is 9586819521.

It is an interprime number because it is at equal distance from previous prime (125918685889) and next prime (125918685911).

It is a super-3 number, since 3×125918685900³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 47141565 + ... + 47144235.

Almost surely, 2^125918685900 is an apocalyptic number.

125918685900 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 125918685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229862527440).

125918685900 is an abundant number, since it is smaller than the sum of its proper divisors (333806368980).

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

125918685900 is a wasteful number, since it uses less digits than its factorization.

125918685900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 125918685900 in words is "one hundred twenty-five billion, nine hundred eighteen million, six hundred eighty-five thousand, nine hundred".