11557081040 has 20 divisors (see below), whose sum is σ = 26870213604. Its totient is φ = 4622832384.

The previous prime is 11557081031. The next prime is 11557081069. The reversal of 11557081040 is 4018075511.

11557081040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4881537424 + 6675543616 = 69868^2 + 81704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11557081040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11557080988 and 11557081006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72231677 + ... + 72231836.

Almost surely, 2^11557081040 is an apocalyptic number.

11557081040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11557081040 is an abundant number, since it is smaller than the sum of its proper divisors (15313132564).

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

11557081040 is a wasteful number, since it uses less digits than its factorization.

11557081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144463526 (or 144463520 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The spelling of 11557081040 in words is "eleven billion, five hundred fifty-seven million, eighty-one thousand, forty".