125674969835520 has 1152 divisors, whose sum is σ = 512768773520640. Its totient is φ = 27869184000000.

The previous prime is 125674969835447. The next prime is 125674969835549. The reversal of 125674969835520 is 25538969476521.

125674969835520 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 7 + 4 + 9 + 6 + 98 + 3 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787422395 + ... + 4787448645.

It is an arithmetic number, because the mean of its divisors is an integer number (445111782570).

It is a 1-persistent number, because it is pandigital, but 2⋅125674969835520 = 251349939671040 is not.

Almost surely, 2^{125674969835520} is an apocalyptic number.

125674969835520 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 125674969835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256384386760320).

125674969835520 is an abundant number, since it is smaller than the sum of its proper divisors (387093803685120).

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

125674969835520 is a wasteful number, since it uses less digits than its factorization.

125674969835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26513 (or 26490 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 125674969835520 in words is "one hundred twenty-five trillion, six hundred seventy-four billion, nine hundred sixty-nine million, eight hundred thirty-five thousand, five hundred twenty".