11085900840 has 128 divisors (see below), whose sum is σ = 42232032000. Its totient is φ = 2533918464.

The previous prime is 11085900829. The next prime is 11085900877. The reversal of 11085900840 is 4800958011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11085900795 and 11085900804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725635 + ... + 740754.

It is an arithmetic number, because the mean of its divisors is an integer number (329937750).

Almost surely, 2^11085900840 is an apocalyptic number.

11085900840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11085900840 is an abundant number, since it is smaller than the sum of its proper divisors (31146131160).

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

11085900840 is a wasteful number, since it uses less digits than its factorization.

11085900840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466416 (or 1466406 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

It can be divided in two parts, 11085 and 900840, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 11085900840 in words is "eleven billion, eighty-five million, nine hundred thousand, eight hundred forty".