31286328109920 has 1152 divisors, whose sum is σ = 126663776313984. Its totient is φ = 7224456904704.

The previous prime is 31286328109877. The next prime is 31286328109943. The reversal of 31286328109920 is 2990182368213.

31286328109920 is a `hidden beast` number, since 3 + 1 + 286 + 328 + 10 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2689440424 + ... + 2689452056.

It is an arithmetic number, because the mean of its divisors is an integer number (109951194717).

Almost surely, 2^{31286328109920} is an apocalyptic number.

31286328109920 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 31286328109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63331888156992).

31286328109920 is an abundant number, since it is smaller than the sum of its proper divisors (95377448204064).

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

31286328109920 is a wasteful number, since it uses less digits than its factorization.

31286328109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 31286328109920 in words is "thirty-one trillion, two hundred eighty-six billion, three hundred twenty-eight million, one hundred nine thousand, nine hundred twenty".