11123456677890 has 64 divisors (see below), whose sum is σ = 28113752419200. Its totient is φ = 2808897606144.

The previous prime is 11123456677877. The next prime is 11123456677973. The reversal of 11123456677890 is 9877665432111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006987 + ... + 5593646.

It is an arithmetic number, because the mean of its divisors is an integer number (439277381550).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11123456677890 = 22246913355780, but 3⋅11123456677890 = 33370370033670 is not.

Almost surely, 2^{11123456677890} is an apocalyptic number.

11123456677890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11123456677890 is an abundant number, since it is smaller than the sum of its proper divisors (16990295741310).

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

11123456677890 is a wasteful number, since it uses less digits than its factorization.

11123456677890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602931.

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 11123456677890 in words is "eleven trillion, one hundred twenty-three billion, four hundred fifty-six million, six hundred seventy-seven thousand, eight hundred ninety".