31205383680 has 160 divisors (see below), whose sum is σ = 102978551808. Its totient is φ = 8052940800.

The previous prime is 31205383603. The next prime is 31205383697. The reversal of 31205383680 is 8638350213.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172545 + ... + 303615.

Almost surely, 2^31205383680 is an apocalyptic number.

31205383680 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 31205383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51489275904).

31205383680 is an abundant number, since it is smaller than the sum of its proper divisors (71773168128).

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

31205383680 is a wasteful number, since it uses less digits than its factorization.

31205383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131128 (or 131112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 31205383680 in words is "thirty-one billion, two hundred five million, three hundred eighty-three thousand, six hundred eighty".