30961359360 has 240 divisors, whose sum is σ = 107423470440. Its totient is φ = 8241315840.

The previous prime is 30961359329. The next prime is 30961359383. The reversal of 30961359360 is 6395316903.

It can be written as a sum of positive squares in 4 ways, for example, as 28531263744 + 2430095616 = 168912^2 + 49296^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19099350 + ... + 19100970.

Almost surely, 2^30961359360 is an apocalyptic number.

30961359360 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 30961359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53711735220).

30961359360 is an abundant number, since it is smaller than the sum of its proper divisors (76462111080).

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

30961359360 is a wasteful number, since it uses less digits than its factorization.

30961359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 30961359360 in words is "thirty billion, nine hundred sixty-one million, three hundred fifty-nine thousand, three hundred sixty".