1808107378272 has 576 divisors, whose sum is σ = 5840299745280. Its totient is φ = 546923280384.

The previous prime is 1808107378243. The next prime is 1808107378283. The reversal of 1808107378272 is 2728737018081.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2978759793 + ... + 2978760399.

It is an arithmetic number, because the mean of its divisors is an integer number (10139409280).

Almost surely, 2^{1808107378272} is an apocalyptic number.

1808107378272 is a gapful number since it is divisible by the number (12) 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 1808107378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920149872640).

1808107378272 is an abundant number, since it is smaller than the sum of its proper divisors (4032192367008).

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

1808107378272 is a wasteful number, since it uses less digits than its factorization.

1808107378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 1808107378272 in words is "one trillion, eight hundred eight billion, one hundred seven million, three hundred seventy-eight thousand, two hundred seventy-two".