125339477760 has 1008 divisors, whose sum is σ = 531892623360. Its totient is φ = 27680071680.

The previous prime is 125339477759. The next prime is 125339477773. The reversal of 125339477760 is 67774933521.

125339477760 is a `hidden beast` number, since 1 + 2 + 533 + 9 + 47 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 125339477697 and 125339477706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 202486731 + ... + 202487349.

Almost surely, 2^125339477760 is an apocalyptic number.

125339477760 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 125339477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265946311680).

125339477760 is an abundant number, since it is smaller than the sum of its proper divisors (406553145600).

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

125339477760 is an frugal number, since it uses more digits than its factorization.

125339477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 125339477760 in words is "one hundred twenty-five billion, three hundred thirty-nine million, four hundred seventy-seven thousand, seven hundred sixty".