18270252000 has 1536 divisors, whose sum is σ = 89820057600. Its totient is φ = 3504384000.

The previous prime is 18270251999. The next prime is 18270252017. The reversal of 18270252000 is 25207281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1405403994 + ... + 1405404006.

It is an arithmetic number, because the mean of its divisors is an integer number (58476600).

Almost surely, 2^18270252000 is an apocalyptic number.

18270252000 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 18270252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

18270252000 is an abundant number, since it is smaller than the sum of its proper divisors (71549805600).

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

18270252000 is a wasteful number, since it uses less digits than its factorization.

18270252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 18270252000 its reverse (25207281), we get a palindrome (18295459281).

The spelling of 18270252000 in words is "eighteen billion, two hundred seventy million, two hundred fifty-two thousand".