125666340664700 has 144 divisors (see below), whose sum is σ = 300462642472608. Its totient is φ = 45239779200000.

The previous prime is 125666340664681. The next prime is 125666340664717. The reversal of 125666340664700 is 7466043666521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197716642 + ... + 1197821558.

It is an arithmetic number, because the mean of its divisors is an integer number (2086546128282).

Almost surely, 2^{125666340664700} is an apocalyptic number.

125666340664700 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 125666340664700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150231321236304).

125666340664700 is an abundant number, since it is smaller than the sum of its proper divisors (174796301807908).

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

125666340664700 is a wasteful number, since it uses less digits than its factorization.

125666340664700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115824 (or 115817 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 56.

The spelling of 125666340664700 in words is "one hundred twenty-five trillion, six hundred sixty-six billion, three hundred forty million, six hundred sixty-four thousand, seven hundred".