125671949763360 has 4608 divisors, whose sum is σ = 586300954337280. Its totient is φ = 22172722790400.

The previous prime is 125671949763317. The next prime is 125671949763389. The reversal of 125671949763360 is 63367949176521.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 401507826564 + ... + 401507826876.

It is an arithmetic number, because the mean of its divisors is an integer number (127235450160).

Almost surely, 2^{125671949763360} is an apocalyptic number.

125671949763360 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 125671949763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293150477168640).

125671949763360 is an abundant number, since it is smaller than the sum of its proper divisors (460629004573920).

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

125671949763360 is a wasteful number, since it uses less digits than its factorization.

125671949763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 125671949763360 in words is "one hundred twenty-five trillion, six hundred seventy-one billion, nine hundred forty-nine million, seven hundred sixty-three thousand, three hundred sixty".