31168800000 has 1080 divisors, whose sum is σ = 128484323352. Its totient is φ = 7464960000.

The previous prime is 31168799947. The next prime is 31168800011. The reversal of 31168800000 is 886113.

It can be written as a sum of positive squares in 12 ways, for example, as 31015436544 + 153363456 = 176112^2 + 12384^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 842399982 + ... + 842400018.

Almost surely, 2^31168800000 is an apocalyptic number.

31168800000 is a gapful number since it is divisible by the number (30) 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 31168800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64242161676).

31168800000 is an abundant number, since it is smaller than the sum of its proper divisors (97315523352).

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

31168800000 is an frugal number, since it uses more digits than its factorization.

31168800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 31168800000 in words is "thirty-one billion, one hundred sixty-eight million, eight hundred thousand".