18811272480 has 1536 divisors, whose sum is σ = 87787929600. Its totient is φ = 3323658240.

The previous prime is 18811272461. The next prime is 18811272539. The reversal of 18811272480 is 8427211881.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 400239817 + ... + 400239863.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 2^18811272480 is an apocalyptic number.

18811272480 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 18811272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893964800).

18811272480 is an abundant number, since it is smaller than the sum of its proper divisors (68976657120).

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

18811272480 is a wasteful number, since it uses less digits than its factorization.

18811272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 18811272480 in words is "eighteen billion, eight hundred eleven million, two hundred seventy-two thousand, four hundred eighty".