11205408776407 has 16 divisors (see below), whose sum is σ = 12222267840000. Its totient is φ = 10232482032864.

The previous prime is 11205408776399. The next prime is 11205408776447. The reversal of 11205408776407 is 70467780450211.

It is a happy number.

11205408776407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11205408776407 - 2³ = 11205408776399 is a prime.

It is a super-2 number, since 2×11205408776407² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205408776447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16645323 + ... + 17305420.

It is an arithmetic number, because the mean of its divisors is an integer number (763891740000).

Almost surely, 2^{11205408776407} is an apocalyptic number.

11205408776407 is a deficient number, since it is larger than the sum of its proper divisors (1016859063593).

11205408776407 is a wasteful number, since it uses less digits than its factorization.

11205408776407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33951390.

The product of its (nonzero) digits is 2634240, while the sum is 52.

The spelling of 11205408776407 in words is "eleven trillion, two hundred five billion, four hundred eight million, seven hundred seventy-six thousand, four hundred seven".