11682267610280 has 64 divisors (see below), whose sum is σ = 27006659936640. Its totient is φ = 4544734424832.

The previous prime is 11682267610271. The next prime is 11682267610291. The reversal of 11682267610280 is 8201676228611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957187 + ... + 5214893.

It is an arithmetic number, because the mean of its divisors is an integer number (421979061510).

Almost surely, 2^{11682267610280} is an apocalyptic number.

11682267610280 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 11682267610280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503329968320).

11682267610280 is an abundant number, since it is smaller than the sum of its proper divisors (15324392326360).

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

11682267610280 is a wasteful number, since it uses less digits than its factorization.

11682267610280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260178 (or 3260174 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 11682267610280 in words is "eleven trillion, six hundred eighty-two billion, two hundred sixty-seven million, six hundred ten thousand, two hundred eighty".