31205007680 has 224 divisors, whose sum is σ = 93267044352. Its totient is φ = 9660672000.

The previous prime is 31205007677. The next prime is 31205007703. The reversal of 31205007680 is 8670050213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3716447 + ... + 3724833.

Almost surely, 2^31205007680 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 31205007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46633522176).

31205007680 is an abundant number, since it is smaller than the sum of its proper divisors (62062036672).

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

31205007680 is a wasteful number, since it uses less digits than its factorization.

31205007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 31205007680 its reverse (8670050213), we get a palindrome (39875057893).

The spelling of 31205007680 in words is "thirty-one billion, two hundred five million, seven thousand, six hundred eighty".