125717196096 has 224 divisors, whose sum is σ = 375371360000. Its totient is φ = 41254354944.

The previous prime is 125717196091. The next prime is 125717196097. The reversal of 125717196096 is 690691717521.

125717196096 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 17 + 19 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125717196091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33353700 + ... + 33357468.

It is an arithmetic number, because the mean of its divisors is an integer number (1675765000).

Almost surely, 2^125717196096 is an apocalyptic number.

125717196096 is a gapful number since it is divisible by the number (16) 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 125717196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187685680000).

125717196096 is an abundant number, since it is smaller than the sum of its proper divisors (249654163904).

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

125717196096 is a wasteful number, since it uses less digits than its factorization.

125717196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 125717196096 in words is "one hundred twenty-five billion, seven hundred seventeen million, one hundred ninety-six thousand, ninety-six".