18153102240 has 768 divisors, whose sum is σ = 79584906240. Its totient is φ = 3762339840.

The previous prime is 18153102221. The next prime is 18153102277. The reversal of 18153102240 is 4220135181.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 23979942 + ... + 23980698.

It is an arithmetic number, because the mean of its divisors is an integer number (103626180).

Almost surely, 2^18153102240 is an apocalyptic number.

18153102240 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 18153102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39792453120).

18153102240 is an abundant number, since it is smaller than the sum of its proper divisors (61431804000).

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

18153102240 is a wasteful number, since it uses less digits than its factorization.

18153102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 18153102240 in words is "eighteen billion, one hundred fifty-three million, one hundred two thousand, two hundred forty".