11535220000 has 120 divisors (see below), whose sum is σ = 28453701276. Its totient is φ = 4601856000.

The previous prime is 11535219991. The next prime is 11535220031. The reversal of 11535220000 is 2253511.

It can be written as a sum of positive squares in 10 ways, for example, as 155451024 + 11379768976 = 12468^2 + 106676^2 .

It is a super-2 number, since 2×11535220000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11535220000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13459572 + ... + 13460428.

Almost surely, 2^11535220000 is an apocalyptic number.

11535220000 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 11535220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226850638).

11535220000 is an abundant number, since it is smaller than the sum of its proper divisors (16918481276).

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

11535220000 is an frugal number, since it uses more digits than its factorization.

11535220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 11535220000 its reverse (2253511), we get a palindrome (11537473511).

The spelling of 11535220000 in words is "eleven billion, five hundred thirty-five million, two hundred twenty thousand".