31425822720 has 440 divisors, whose sum is σ = 115712431164. Its totient is φ = 8153726976.

The previous prime is 31425822709. The next prime is 31425822733. The reversal of 31425822720 is 2722852413.

31425822720 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 582 + 2 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30661410816 + 764411904 = 175104^2 + 27648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849346542 + ... + 849346578.

Almost surely, 2^31425822720 is an apocalyptic number.

31425822720 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 31425822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57856215582).

31425822720 is an abundant number, since it is smaller than the sum of its proper divisors (84286608444).

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

31425822720 is an frugal number, since it uses more digits than its factorization.

31425822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 31425822720 in words is "thirty-one billion, four hundred twenty-five million, eight hundred twenty-two thousand, seven hundred twenty".