18057828096 has 864 divisors, whose sum is σ = 70128495360. Its totient is φ = 4528742400.

The previous prime is 18057828091. The next prime is 18057828101. The reversal of 18057828096 is 69082875081.

It is an interprime number because it is at equal distance from previous prime (18057828091) and next prime (18057828101).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057828091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137845951 + ... + 137846081.

It is an arithmetic number, because the mean of its divisors is an integer number (81167240).

Almost surely, 2^18057828096 is an apocalyptic number.

18057828096 is a gapful number since it is divisible by the number (16) 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 18057828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35064247680).

18057828096 is an abundant number, since it is smaller than the sum of its proper divisors (52070667264).

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

18057828096 is a wasteful number, since it uses less digits than its factorization.

18057828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18057828096 in words is "eighteen billion, fifty-seven million, eight hundred twenty-eight thousand, ninety-six".