31280842728080 has 480 divisors, whose sum is σ = 86507626907520. Its totient is φ = 10396000419840.

The previous prime is 31280842728059. The next prime is 31280842728103. The reversal of 31280842728080 is 8082724808213.

It is a super-2 number, since 2×31280842728080² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13373595551 + ... + 13373597889.

It is an arithmetic number, because the mean of its divisors is an integer number (180224222724).

Almost surely, 2^{31280842728080} 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 31280842728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43253813453760).

31280842728080 is an abundant number, since it is smaller than the sum of its proper divisors (55226784179440).

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

31280842728080 is a wasteful number, since it uses less digits than its factorization.

31280842728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 53.

The spelling of 31280842728080 in words is "thirty-one trillion, two hundred eighty billion, eight hundred forty-two million, seven hundred twenty-eight thousand, eighty".