31198390272 has 480 divisors, whose sum is σ = 108358810560. Its totient is φ = 8758886400.

The previous prime is 31198390243. The next prime is 31198390283. The reversal of 31198390272 is 27209389113.

31198390272 is a `hidden beast` number, since 3 + 1 + 198 + 390 + 2 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77801272 + ... + 77801672.

It is an arithmetic number, because the mean of its divisors is an integer number (225747522).

Almost surely, 2^31198390272 is an apocalyptic number.

31198390272 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 31198390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54179405280).

31198390272 is an abundant number, since it is smaller than the sum of its proper divisors (77160420288).

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

31198390272 is an equidigital number, since it uses as much as digits as its factorization.

31198390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 31198390272 in words is "thirty-one billion, one hundred ninety-eight million, three hundred ninety thousand, two hundred seventy-two".