31653261640 has 256 divisors, whose sum is σ = 97251840000. Its totient is φ = 8952007680.

The previous prime is 31653261613. The next prime is 31653261643. The reversal of 31653261640 is 4616235613.

It is a self number, because there is not a number n which added to its sum of digits gives 31653261640.

It is not an unprimeable number, because it can be changed into a prime (31653261643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355661 + ... + 2369059.

It is an arithmetic number, because the mean of its divisors is an integer number (379890000).

Almost surely, 2^31653261640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31653261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920000).

31653261640 is an abundant number, since it is smaller than the sum of its proper divisors (65598578360).

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

31653261640 is a wasteful number, since it uses less digits than its factorization.

31653261640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 31653261640 in words is "thirty-one billion, six hundred fifty-three million, two hundred sixty-one thousand, six hundred forty".