11137680411 has 32 divisors (see below), whose sum is σ = 17522776320. Its totient is φ = 6203606400.

The previous prime is 11137680377. The next prime is 11137680413. The reversal of 11137680411 is 11408673111.

It is not a de Polignac number, because 11137680411 - 2¹⁵ = 11137647643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11137680413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41556 + ... + 154926.

It is an arithmetic number, because the mean of its divisors is an integer number (547586760).

Almost surely, 2^11137680411 is an apocalyptic number.

11137680411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11137680411 is a deficient number, since it is larger than the sum of its proper divisors (6385095909).

11137680411 is a wasteful number, since it uses less digits than its factorization.

11137680411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113627.

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11137680411 in words is "eleven billion, one hundred thirty-seven million, six hundred eighty thousand, four hundred eleven".