31885072128 has 216 divisors, whose sum is σ = 113148465248. Its totient is φ = 8409194496.

The previous prime is 31885072123. The next prime is 31885072139. The reversal of 31885072128 is 82127058813.

31885072128 is a `hidden beast` number, since 3 + 18 + 8 + 507 + 2 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31885072123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 133626 + ... + 285702.

Almost surely, 2^31885072128 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 31885072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56574232624).

31885072128 is an abundant number, since it is smaller than the sum of its proper divisors (81263393120).

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

31885072128 is a wasteful number, since it uses less digits than its factorization.

31885072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152119 (or 152102 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 31885072128 in words is "thirty-one billion, eight hundred eighty-five million, seventy-two thousand, one hundred twenty-eight".