31855680000 has 500 divisors, whose sum is σ = 118909663290. Its totient is φ = 8487936000.

The previous prime is 31855679983. The next prime is 31855680001. The reversal of 31855680000 is 8655813.

It can be written as a sum of positive squares in 5 ways, for example, as 5890869504 + 25964810496 = 76752^2 + 161136^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31855680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919386 + ... + 25920614.

Almost surely, 2^31855680000 is an apocalyptic number.

31855680000 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 31855680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59454831645).

31855680000 is an abundant number, since it is smaller than the sum of its proper divisors (87053983290).

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

31855680000 is an frugal number, since it uses more digits than its factorization.

31855680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 31855680000 in words is "thirty-one billion, eight hundred fifty-five million, six hundred eighty thousand".