13092693120 has 512 divisors, whose sum is σ = 50379840000. Its totient is φ = 3194339328.

The previous prime is 13092693113. The next prime is 13092693149. The reversal of 13092693120 is 2139629031.

It is a happy number.

It is a super-2 number, since 2×13092693120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37514706 + ... + 37515054.

It is an arithmetic number, because the mean of its divisors is an integer number (98398125).

Almost surely, 2^13092693120 is an apocalyptic number.

13092693120 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 13092693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189920000).

13092693120 is an abundant number, since it is smaller than the sum of its proper divisors (37287146880).

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

13092693120 is a wasteful number, since it uses less digits than its factorization.

13092693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13092693120 in words is "thirteen billion, ninety-two million, six hundred ninety-three thousand, one hundred twenty".