11377858005 has 24 divisors (see below), whose sum is σ = 20881717272. Its totient is φ = 5711238144.

The previous prime is 11377857973. The next prime is 11377858021. The reversal of 11377858005 is 50085877311.

11377858005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 840014289 + 10537843716 = 28983^2 + 102654^2 .

It is not a de Polignac number, because 11377858005 - 2⁵ = 11377857973 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7435744 + ... + 7437273.

It is an arithmetic number, because the mean of its divisors is an integer number (870071553).

Almost surely, 2^11377858005 is an apocalyptic number.

11377858005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11377858005 is a deficient number, since it is larger than the sum of its proper divisors (9503859267).

11377858005 is a wasteful number, since it uses less digits than its factorization.

11377858005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873045 (or 14873042 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 11377858005 in words is "eleven billion, three hundred seventy-seven million, eight hundred fifty-eight thousand, five".