11263600480 has 192 divisors, whose sum is σ = 30751031808. Its totient is φ = 3858370560.

The previous prime is 11263600477. The next prime is 11263600487. The reversal of 11263600480 is 8400636211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263600487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2710084 + ... + 2714236.

It is an arithmetic number, because the mean of its divisors is an integer number (160161624).

Almost surely, 2^11263600480 is an apocalyptic number.

11263600480 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 11263600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375515904).

11263600480 is an abundant number, since it is smaller than the sum of its proper divisors (19487431328).

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

11263600480 is a wasteful number, since it uses less digits than its factorization.

11263600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 11263600480 in words is "eleven billion, two hundred sixty-three million, six hundred thousand, four hundred eighty".