125372527035840 has 1344 divisors, whose sum is σ = 529118850693888. Its totient is φ = 26595871948800.

The previous prime is 125372527035817. The next prime is 125372527035871. The reversal of 125372527035840 is 48530725273521.

125372527035840 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 7 + 2 + 52 + 7 + 0 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 9341512330 + ... + 9341525750.

It is an arithmetic number, because the mean of its divisors is an integer number (393689621052).

Almost surely, 2^{125372527035840} is an apocalyptic number.

125372527035840 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 125372527035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264559425346944).

125372527035840 is an abundant number, since it is smaller than the sum of its proper divisors (403746323658048).

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

125372527035840 is a wasteful number, since it uses less digits than its factorization.

125372527035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 125372527035840 in words is "one hundred twenty-five trillion, three hundred seventy-two billion, five hundred twenty-seven million, thirty-five thousand, eight hundred forty".