31253520480 has 384 divisors, whose sum is σ = 125081542656. Its totient is φ = 6381158400.

The previous prime is 31253520433. The next prime is 31253520481. The reversal of 31253520480 is 8402535213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31253520481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1342540 + ... + 1365620.

It is an arithmetic number, because the mean of its divisors is an integer number (325733184).

Almost surely, 2^31253520480 is an apocalyptic number.

31253520480 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 31253520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62540771328).

31253520480 is an abundant number, since it is smaller than the sum of its proper divisors (93828022176).

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

31253520480 is a wasteful number, since it uses less digits than its factorization.

31253520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23150 (or 23142 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 31253520480 in words is "thirty-one billion, two hundred fifty-three million, five hundred twenty thousand, four hundred eighty".