125079370311168 has 4320 divisors, whose sum is σ = 513784419692544. Its totient is φ = 30086679232512.

The previous prime is 125079370311163. The next prime is 125079370311179. The reversal of 125079370311168 is 861113073970521.

125079370311168 is a `hidden beast` number, since 1 + 2 + 507 + 9 + 3 + 70 + 3 + 1 + 1 + 1 + 68 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125079370311163) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 984876931521 + ... + 984876931647.

Almost surely, 2^{125079370311168} is an apocalyptic number.

125079370311168 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 125079370311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256892209846272).

125079370311168 is an abundant number, since it is smaller than the sum of its proper divisors (388705049381376).

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

125079370311168 is a wasteful number, since it uses less digits than its factorization.

125079370311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 125079370311168 in words is "one hundred twenty-five trillion, seventy-nine billion, three hundred seventy million, three hundred eleven thousand, one hundred sixty-eight".