18257541120 has 864 divisors, whose sum is σ = 79525424160. Its totient is φ = 3839754240.

The previous prime is 18257541103. The next prime is 18257541149. The reversal of 18257541120 is 2114575281.

It is a happy number.

18257541120 is a `hidden beast` number, since 1 + 82 + 575 + 4 + 1 + 1 + 2 + 0 = 666.

It is a super-4 number, since 4×18257541120⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58705765 + ... + 58706075.

It is an arithmetic number, because the mean of its divisors is an integer number (92043315).

Almost surely, 2^18257541120 is an apocalyptic number.

18257541120 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 18257541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39762712080).

18257541120 is an abundant number, since it is smaller than the sum of its proper divisors (61267883040).

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

18257541120 is a wasteful number, since it uses less digits than its factorization.

18257541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 18257541120 in words is "eighteen billion, two hundred fifty-seven million, five hundred forty-one thousand, one hundred twenty".