11827265805 has 24 divisors (see below), whose sum is σ = 20527734552. Its totient is φ = 6299524224.

The previous prime is 11827265761. The next prime is 11827265809. The reversal of 11827265805 is 50856272811.

It can be written as a sum of positive squares in 4 ways, for example, as 1812460329 + 10014805476 = 42573^2 + 100074^2 .

It is not a de Polignac number, because 11827265805 - 2²⁴ = 11810488589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11827265809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139534 + ... + 207663.

It is an arithmetic number, because the mean of its divisors is an integer number (855322273).

Almost surely, 2^11827265805 is an apocalyptic number.

11827265805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11827265805 is a deficient number, since it is larger than the sum of its proper divisors (8700468747).

11827265805 is a wasteful number, since it uses less digits than its factorization.

11827265805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347965 (or 347962 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11827265805 in words is "eleven billion, eight hundred twenty-seven million, two hundred sixty-five thousand, eight hundred five".