125674053120 has 1600 divisors, whose sum is σ = 595489314816. Its totient is φ = 24524881920.

The previous prime is 125674053107. The next prime is 125674053139. The reversal of 125674053120 is 21350476521.

125674053120 is a `hidden beast` number, since 1 + 2 + 5 + 67 + 40 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271434009 + ... + 271434471.

Almost surely, 2^125674053120 is an apocalyptic number.

125674053120 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 125674053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297744657408).

125674053120 is an abundant number, since it is smaller than the sum of its proper divisors (469815261696).

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

125674053120 is a wasteful number, since it uses less digits than its factorization.

125674053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 125674053120 in words is "one hundred twenty-five billion, six hundred seventy-four million, fifty-three thousand, one hundred twenty".