125981632170 has 96 divisors (see below), whose sum is σ = 331915776192. Its totient is φ = 33148582656.

The previous prime is 125981632099. The next prime is 125981632207. The reversal of 125981632170 is 71236189521.

125981632170 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 8 + 1 + 632 + 1 + 7 + 0 = 666.

It is a super-4 number, since 4×125981632170⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 6167494 + ... + 6187886.

It is an arithmetic number, because the mean of its divisors is an integer number (3457456002).

Almost surely, 2^125981632170 is an apocalyptic number.

125981632170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125981632170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957888096).

125981632170 is an abundant number, since it is smaller than the sum of its proper divisors (205934144022).

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

125981632170 is a wasteful number, since it uses less digits than its factorization.

125981632170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21316 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 125981632170 in words is "one hundred twenty-five billion, nine hundred eighty-one million, six hundred thirty-two thousand, one hundred seventy".