125055516160 has 80 divisors (see below), whose sum is σ = 300137298912. Its totient is φ = 49972633600.

The previous prime is 125055516139. The next prime is 125055516203. The reversal of 125055516160 is 61615550521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×125055516160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615670 + ... + 2663050.

Almost surely, 2^125055516160 is an apocalyptic number.

125055516160 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 125055516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150068649456).

125055516160 is an abundant number, since it is smaller than the sum of its proper divisors (175081782752).

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

125055516160 is an equidigital number, since it uses as much as digits as its factorization.

125055516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48435 (or 48419 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 125055516160 in words is "one hundred twenty-five billion, fifty-five million, five hundred sixteen thousand, one hundred sixty".