11355040872 has 144 divisors (see below), whose sum is σ = 36015934500. Its totient is φ = 3222374400.

The previous prime is 11355040861. The next prime is 11355040901. The reversal of 11355040872 is 27804055311.

11355040872 is a `hidden beast` number, since 1 + 135 + 50 + 408 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11353754916 + 1285956 = 106554^2 + 1134^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 514872 + ... + 536472.

Almost surely, 2^11355040872 is an apocalyptic number.

11355040872 is a gapful number since it is divisible by the number (12) 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 11355040872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007967250).

11355040872 is an abundant number, since it is smaller than the sum of its proper divisors (24660893628).

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

11355040872 is a wasteful number, since it uses less digits than its factorization.

11355040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21776 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11355040872 in words is "eleven billion, three hundred fifty-five million, forty thousand, eight hundred seventy-two".