10800506180394 has 160 divisors (see below), whose sum is σ = 28976782196736. Its totient is φ = 2941742564640.

The previous prime is 10800506180381. The next prime is 10800506180413. The reversal of 10800506180394 is 49308160500801.

10800506180394 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 5 + 0 + 6 + 180 + 394 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62527 + ... + 4648109.

Almost surely, 2^{10800506180394} is an apocalyptic number.

10800506180394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800506180394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488391098368).

10800506180394 is an abundant number, since it is smaller than the sum of its proper divisors (18176276016342).

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

10800506180394 is a wasteful number, since it uses less digits than its factorization.

10800506180394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585702 (or 4585693 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10800506180394 in words is "ten trillion, eight hundred billion, five hundred six million, one hundred eighty thousand, three hundred ninety-four".