31125672160 has 144 divisors (see below), whose sum is σ = 83615716800. Its totient is φ = 10927938560.

The previous prime is 31125672101. The next prime is 31125672167. The reversal of 31125672160 is 6127652113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31125672167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533721 + ... + 589159.

It is an arithmetic number, because the mean of its divisors is an integer number (580664700).

Almost surely, 2^31125672160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31125672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41807858400).

31125672160 is an abundant number, since it is smaller than the sum of its proper divisors (52490044640).

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

31125672160 is a wasteful number, since it uses less digits than its factorization.

31125672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55505 (or 55486 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 31125672160 in words is "thirty-one billion, one hundred twenty-five million, six hundred seventy-two thousand, one hundred sixty".