18826857000 has 1024 divisors, whose sum is σ = 80223436800. Its totient is φ = 3991680000.

The previous prime is 18826856947. The next prime is 18826857017. The reversal of 18826857000 is 75862881.

18826857000 is a `hidden beast` number, since 18 + 8 + 2 + 68 + 570 + 0 + 0 = 666.

It is a super-3 number, since 3×18826857000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 265166965 + ... + 265167035.

It is an arithmetic number, because the mean of its divisors is an integer number (78343200).

Almost surely, 2^18826857000 is an apocalyptic number.

18826857000 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 18826857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40111718400).

18826857000 is an abundant number, since it is smaller than the sum of its proper divisors (61396579800).

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

18826857000 is a wasteful number, since it uses less digits than its factorization.

18826857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

It can be divided in two parts, 18826 and 857000, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 18826857000 in words is "eighteen billion, eight hundred twenty-six million, eight hundred fifty-seven thousand".