13061583360 has 480 divisors, whose sum is σ = 52242727680. Its totient is φ = 2954133504.

The previous prime is 13061583341. The next prime is 13061583377. The reversal of 13061583360 is 6338516031.

It is a happy number.

13061583360 is a `hidden beast` number, since 1 + 3 + 0 + 615 + 8 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17579149 + ... + 17579891.

It is an arithmetic number, because the mean of its divisors is an integer number (108839016).

Almost surely, 2^13061583360 is an apocalyptic number.

13061583360 is a gapful number since it is divisible by the number (10) 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 13061583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121363840).

13061583360 is an abundant number, since it is smaller than the sum of its proper divisors (39181144320).

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

13061583360 is a wasteful number, since it uses less digits than its factorization.

13061583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13061583360 in words is "thirteen billion, sixty-one million, five hundred eighty-three thousand, three hundred sixty".