13092924960 has 144 divisors (see below), whose sum is σ = 45522883224. Its totient is φ = 3425550336.

The previous prime is 13092924883. The next prime is 13092924973. The reversal of 13092924960 is 6942929031.

It is a happy number.

13092924960 is a `hidden beast` number, since 130 + 9 + 29 + 2 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10732131216 + 2360793744 = 103596^2 + 48588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×13092924960³ (a number of 31 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 9457 + ... + 162096.

Almost surely, 2^13092924960 is an apocalyptic number.

13092924960 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 13092924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761441612).

13092924960 is an abundant number, since it is smaller than the sum of its proper divisors (32429958264).

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

13092924960 is a wasteful number, since it uses less digits than its factorization.

13092924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171627 (or 171616 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13092924960 in words is "thirteen billion, ninety-two million, nine hundred twenty-four thousand, nine hundred sixty".