125591196149760 has 768 divisors, whose sum is σ = 457671083950080. Its totient is φ = 29103926804480.

The previous prime is 125591196149723. The next prime is 125591196149761. The reversal of 125591196149760 is 67941691195521.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 125591196149691 and 125591196149700.

It is not an unprimeable number, because it can be changed into a prime (125591196149761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14868137857 + ... + 14868146303.

It is an arithmetic number, because the mean of its divisors is an integer number (595925890560).

Almost surely, 2^{125591196149760} is an apocalyptic number.

125591196149760 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 125591196149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228835541975040).

125591196149760 is an abundant number, since it is smaller than the sum of its proper divisors (332079887800320).

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

125591196149760 is a wasteful number, since it uses less digits than its factorization.

125591196149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 66.

The spelling of 125591196149760 in words is "one hundred twenty-five trillion, five hundred ninety-one billion, one hundred ninety-six million, one hundred forty-nine thousand, seven hundred sixty".