125666415665400 has 384 divisors, whose sum is σ = 392909874033600. Its totient is φ = 33224943206400.

The previous prime is 125666415665387. The next prime is 125666415665449. The reversal of 125666415665400 is 4566514666521.

It is a happy number.

It is a congruent number.

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, 40681907056 + ... + 40681910144.

Almost surely, 2^{125666415665400} is an apocalyptic number.

125666415665400 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 125666415665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196454937016800).

125666415665400 is an abundant number, since it is smaller than the sum of its proper divisors (267243458368200).

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

125666415665400 is a wasteful number, since it uses less digits than its factorization.

125666415665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 57.

The spelling of 125666415665400 in words is "one hundred twenty-five trillion, six hundred sixty-six billion, four hundred fifteen million, six hundred sixty-five thousand, four hundred".