11533512100 has 72 divisors (see below), whose sum is σ = 27461242368. Its totient is φ = 4169692800.

The previous prime is 11533512097. The next prime is 11533512101. The reversal of 11533512100 is 121533511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11533512101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159997 + ... + 220603.

It is an arithmetic number, because the mean of its divisors is an integer number (381406144).

Almost surely, 2^11533512100 is an apocalyptic number.

11533512100 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 11533512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730621184).

11533512100 is an abundant number, since it is smaller than the sum of its proper divisors (15927730268).

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

11533512100 is a wasteful number, since it uses less digits than its factorization.

11533512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60805 (or 60798 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 11533512100 in words is "eleven billion, five hundred thirty-three million, five hundred twelve thousand, one hundred".