18079925760 has 800 divisors, whose sum is σ = 73616225760. Its totient is φ = 4204265472.

The previous prime is 18079925753. The next prime is 18079925761. The reversal of 18079925760 is 6752997081.

It is a super-2 number, since 2×18079925760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18079925697 and 18079925706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18079925761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 51217744 + ... + 51218096.

Almost surely, 2^18079925760 is an apocalyptic number.

18079925760 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 18079925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808112880).

18079925760 is an abundant number, since it is smaller than the sum of its proper divisors (55536300000).

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

18079925760 is a wasteful number, since it uses less digits than its factorization.

18079925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 18079925760 in words is "eighteen billion, seventy-nine million, nine hundred twenty-five thousand, seven hundred sixty".