11355040000 has 90 divisors (see below), whose sum is σ = 28323488270. Its totient is φ = 4541952000.

The previous prime is 11355039923. The next prime is 11355040031. The reversal of 11355040000 is 4055311.

It can be written as a sum of positive squares in 5 ways, for example, as 7275407616 + 4079632384 = 85296^2 + 63872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11355040000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124516 + ... + 195484.

Almost surely, 2^11355040000 is an apocalyptic number.

11355040000 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 11355040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14161744135).

11355040000 is an abundant number, since it is smaller than the sum of its proper divisors (16968448270).

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

11355040000 is an frugal number, since it uses more digits than its factorization.

11355040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71005 (or 70976 counting only the distinct ones).

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

Adding to 11355040000 its reverse (4055311), we get a palindrome (11359095311).

The spelling of 11355040000 in words is "eleven billion, three hundred fifty-five million, forty thousand".