125418825630 has 384 divisors, whose sum is σ = 402150303360. Its totient is φ = 27712419840.

The previous prime is 125418825583. The next prime is 125418825641. The reversal of 125418825630 is 36528814521.

125418825630 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 1 + 8 + 8 + 2 + 5 + 630 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84684490 + ... + 84685970.

It is an arithmetic number, because the mean of its divisors is an integer number (1047266415).

Almost surely, 2^125418825630 is an apocalyptic number.

125418825630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125418825630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201075151680).

125418825630 is an abundant number, since it is smaller than the sum of its proper divisors (276731477730).

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

125418825630 is a wasteful number, since it uses less digits than its factorization.

125418825630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 125418825630 in words is "one hundred twenty-five billion, four hundred eighteen million, eight hundred twenty-five thousand, six hundred thirty".