31278006272 has 48 divisors (see below), whose sum is σ = 62619151245. Its totient is φ = 15622995968.

The previous prime is 31278006271. The next prime is 31278006293. The reversal of 31278006272 is 27260087213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23318511616 + 7959494656 = 152704^2 + 89216^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125056.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31278006271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32013848 + ... + 32014824.

Almost surely, 2^31278006272 is an apocalyptic number.

31278006272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31278006272

31278006272 is an abundant number, since it is smaller than the sum of its proper divisors (31341144973).

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

31278006272 is an frugal number, since it uses more digits than its factorization.

31278006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 31278006272 in words is "thirty-one billion, two hundred seventy-eight million, six thousand, two hundred seventy-two".