18807310080 has 576 divisors, whose sum is σ = 73698791040. Its totient is φ = 4512153600.

The previous prime is 18807310073. The next prime is 18807310087. The reversal of 18807310080 is 8001370881.

It is an interprime number because it is at equal distance from previous prime (18807310073) and next prime (18807310087).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18807310087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18419970 + ... + 18420990.

It is an arithmetic number, because the mean of its divisors is an integer number (127949290).

Almost surely, 2^18807310080 is an apocalyptic number.

18807310080 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 18807310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849395520).

18807310080 is an abundant number, since it is smaller than the sum of its proper divisors (54891480960).

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

18807310080 is a wasteful number, since it uses less digits than its factorization.

18807310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 18807310080 in words is "eighteen billion, eight hundred seven million, three hundred ten thousand, eighty".