31950160128 has 288 divisors, whose sum is σ = 100874833920. Its totient is φ = 9940008960.

The previous prime is 31950160079. The next prime is 31950160139. The reversal of 31950160128 is 82106105913.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31950160092 and 31950160101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14921938 + ... + 14924078.

It is an arithmetic number, because the mean of its divisors is an integer number (350259840).

Almost surely, 2^31950160128 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 31950160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50437416960).

31950160128 is an abundant number, since it is smaller than the sum of its proper divisors (68924673792).

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

31950160128 is a wasteful number, since it uses less digits than its factorization.

31950160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 31950160128 in words is "thirty-one billion, nine hundred fifty million, one hundred sixty thousand, one hundred twenty-eight".