125685549662400 has 6048 divisors, whose sum is σ = 635181595776000. Its totient is φ = 23211685969920.

The previous prime is 125685549662363. The next prime is 125685549662441. The reversal of 125685549662400 is 4266945586521.

125685549662400 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 8 + 5 + 549 + 66 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 863 ways as a sum of consecutive naturals, for example, 174806049241 + ... + 174806049959.

It is an arithmetic number, because the mean of its divisors is an integer number (105023412000).

Almost surely, 2^{125685549662400} is an apocalyptic number.

125685549662400 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 125685549662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317590797888000).

125685549662400 is an abundant number, since it is smaller than the sum of its proper divisors (509496046113600).

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

125685549662400 is a wasteful number, since it uses less digits than its factorization.

125685549662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 125685549662400 in words is "one hundred twenty-five trillion, six hundred eighty-five billion, five hundred forty-nine million, six hundred sixty-two thousand, four hundred".