31449380560 has 80 divisors (see below), whose sum is σ = 78789113424. Its totient is φ = 11605487616.

The previous prime is 31449380551. The next prime is 31449380581. The reversal of 31449380560 is 6508394413.

It can be written as a sum of positive squares in 8 ways, for example, as 369100944 + 31080279616 = 19212^2 + 176296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065134 + ... + 2080306.

Almost surely, 2^31449380560 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 31449380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394556712).

31449380560 is an abundant number, since it is smaller than the sum of its proper divisors (47339732864).

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

31449380560 is a wasteful number, since it uses less digits than its factorization.

31449380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192 (or 17186 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 31449380560 in words is "thirty-one billion, four hundred forty-nine million, three hundred eighty thousand, five hundred sixty".