11012260656432 has 320 divisors, whose sum is σ = 35853945200640. Its totient is φ = 2839795200000.

The previous prime is 11012260656391. The next prime is 11012260656437. The reversal of 11012260656432 is 23465606221011.

11012260656432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11012260656437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36705432 + ... + 37004232.

It is an arithmetic number, because the mean of its divisors is an integer number (112043578752).

Almost surely, 2^{11012260656432} is an apocalyptic number.

11012260656432 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 11012260656432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926972600320).

11012260656432 is an abundant number, since it is smaller than the sum of its proper divisors (24841684544208).

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

11012260656432 is a wasteful number, since it uses less digits than its factorization.

11012260656432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299112 (or 299106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 11012260656432 its reverse (23465606221011), we get a palindrome (34477866877443).

The spelling of 11012260656432 in words is "eleven trillion, twelve billion, two hundred sixty million, six hundred fifty-six thousand, four hundred thirty-two".