18097679934810 has 256 divisors, whose sum is σ = 58845045473280. Its totient is φ = 3863561794560.

The previous prime is 18097679934713. The next prime is 18097679934821. The reversal of 18097679934810 is 1843997679081.

18097679934810 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 76 + 79 + 9 + 3 + 481 + 0 = 666.

18097679934810 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×18097679934810² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2059167 + ... + 6358893.

It is an arithmetic number, because the mean of its divisors is an integer number (229863458880).

Almost surely, 2^{18097679934810} is an apocalyptic number.

18097679934810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18097679934810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422522736640).

18097679934810 is an abundant number, since it is smaller than the sum of its proper divisors (40747365538470).

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

18097679934810 is a wasteful number, since it uses less digits than its factorization.

18097679934810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299898 (or 4299892 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 18097679934810 in words is "eighteen trillion, ninety-seven billion, six hundred seventy-nine million, nine hundred thirty-four thousand, eight hundred ten".