11475564100 has 144 divisors (see below), whose sum is σ = 33435110016. Its totient is φ = 3301632000.

The previous prime is 11475564071. The next prime is 11475564101. The reversal of 11475564100 is 146557411.

It is not an unprimeable number, because it can be changed into a prime (11475564101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42780 + ... + 157420.

It is an arithmetic number, because the mean of its divisors is an integer number (232188264).

Almost surely, 2^11475564100 is an apocalyptic number.

11475564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11475564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717555008).

11475564100 is an abundant number, since it is smaller than the sum of its proper divisors (21959545916).

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

11475564100 is a wasteful number, since it uses less digits than its factorization.

11475564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114686 (or 114679 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

It can be divided in two parts, 11475 and 564100, that added together give a palindrome (575575).

The spelling of 11475564100 in words is "eleven billion, four hundred seventy-five million, five hundred sixty-four thousand, one hundred".