125751116066400 has 2304 divisors, whose sum is σ = 522359866828800. Its totient is φ = 29277274521600.

The previous prime is 125751116066357. The next prime is 125751116066467. The reversal of 125751116066400 is 4660611157521.

125751116066400 is a `hidden beast` number, since 1 + 2 + 5 + 75 + 1 + 116 + 0 + 66 + 400 = 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 383 ways as a sum of consecutive naturals, for example, 130042518717 + ... + 130042519683.

It is an arithmetic number, because the mean of its divisors is an integer number (226718692200).

Almost surely, 2^{125751116066400} is an apocalyptic number.

125751116066400 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 125751116066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261179933414400).

125751116066400 is an abundant number, since it is smaller than the sum of its proper divisors (396608750762400).

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

125751116066400 is a wasteful number, since it uses less digits than its factorization.

125751116066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125751116066400 in words is "one hundred twenty-five trillion, seven hundred fifty-one billion, one hundred sixteen million, sixty-six thousand, four hundred".