125611859358720 has 1408 divisors, whose sum is σ = 522561691975680. Its totient is φ = 28019889930240.

The previous prime is 125611859358551. The next prime is 125611859358721. The reversal of 125611859358720 is 27853958116521.

125611859358720 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 1 + 18 + 593 + 5 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125611859358721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9795818229 + ... + 9795831051.

Almost surely, 2^{125611859358720} is an apocalyptic number.

125611859358720 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 125611859358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261280845987840).

125611859358720 is an abundant number, since it is smaller than the sum of its proper divisors (396949832616960).

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

125611859358720 is a wasteful number, since it uses less digits than its factorization.

125611859358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 125611859358720 in words is "one hundred twenty-five trillion, six hundred eleven billion, eight hundred fifty-nine million, three hundred fifty-eight thousand, seven hundred twenty".