125719338221568 has 2448 divisors, whose sum is σ = 500272065427680. Its totient is φ = 31206351568896.

The previous prime is 125719338221539. The next prime is 125719338221573. The reversal of 125719338221568 is 865122833917521.

125719338221568 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 19 + 3 + 38 + 2 + 21 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a super-2 number, since 2×125719338221568² (a number of 29 digits) contains 22 as substring.

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

Its product of digits (43545600) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7395255189496 + ... + 7395255189512.

Almost surely, 2^{125719338221568} is an apocalyptic number.

125719338221568 is a gapful number since it is divisible by the number (18) 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 125719338221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250136032713840).

125719338221568 is an abundant number, since it is smaller than the sum of its proper divisors (374552727206112).

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

125719338221568 is an frugal number, since it uses more digits than its factorization.

125719338221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 42 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 125719338221568 in words is "one hundred twenty-five trillion, seven hundred nineteen billion, three hundred thirty-eight million, two hundred twenty-one thousand, five hundred sixty-eight".