18759142080 has 896 divisors, whose sum is σ = 79390402560. Its totient is φ = 4080844800.

The previous prime is 18759142069. The next prime is 18759142121. The reversal of 18759142080 is 8024195781.

18759142080 is a `hidden beast` number, since 18 + 7 + 591 + 42 + 0 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 185734030 + ... + 185734130.

It is an arithmetic number, because the mean of its divisors is an integer number (88605360).

Almost surely, 2^18759142080 is an apocalyptic number.

18759142080 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 18759142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695201280).

18759142080 is an abundant number, since it is smaller than the sum of its proper divisors (60631260480).

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

18759142080 is a wasteful number, since it uses less digits than its factorization.

18759142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18759142080 in words is "eighteen billion, seven hundred fifty-nine million, one hundred forty-two thousand, eighty".