11017632540 has 48 divisors (see below), whose sum is σ = 31010918400. Its totient is φ = 2922649920.

The previous prime is 11017632539. The next prime is 11017632583. The reversal of 11017632540 is 4523671011.

11017632540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11017632498 and 11017632507.

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 15 ways as a sum of consecutive naturals, for example, 469240 + ... + 492159.

It is an arithmetic number, because the mean of its divisors is an integer number (646060800).

Almost surely, 2^11017632540 is an apocalyptic number.

11017632540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11017632540 is an abundant number, since it is smaller than the sum of its proper divisors (19993285860).

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

11017632540 is a wasteful number, since it uses less digits than its factorization.

11017632540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961602 (or 961600 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 11017632540 in words is "eleven billion, seventeen million, six hundred thirty-two thousand, five hundred forty".