18758612880 has 640 divisors, whose sum is σ = 77137920000. Its totient is φ = 4099479552.

The previous prime is 18758612879. The next prime is 18758612891. The reversal of 18758612880 is 8821685781.

18758612880 is a `hidden beast` number, since 18 + 7 + 5 + 8 + 612 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78487801 + ... + 78488039.

It is an arithmetic number, because the mean of its divisors is an integer number (120528000).

Almost surely, 2^18758612880 is an apocalyptic number.

18758612880 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 18758612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960000).

18758612880 is an abundant number, since it is smaller than the sum of its proper divisors (58379307120).

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

18758612880 is a wasteful number, since it uses less digits than its factorization.

18758612880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 18758612880 in words is "eighteen billion, seven hundred fifty-eight million, six hundred twelve thousand, eight hundred eighty".