13492617120 has 480 divisors, whose sum is σ = 51530992128. Its totient is φ = 3311788032.

The previous prime is 13492617119. The next prime is 13492617133. The reversal of 13492617120 is 2171629431.

13492617120 is a `hidden beast` number, since 1 + 34 + 9 + 2 + 617 + 1 + 2 + 0 = 666.

13492617120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10354389 + ... + 10355691.

Almost surely, 2^13492617120 is an apocalyptic number.

13492617120 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 13492617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25765496064).

13492617120 is an abundant number, since it is smaller than the sum of its proper divisors (38038375008).

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

13492617120 is a wasteful number, since it uses less digits than its factorization.

13492617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13492617120 in words is "thirteen billion, four hundred ninety-two million, six hundred seventeen thousand, one hundred twenty".