11480500362240 has 2112 divisors, whose sum is σ = 54125241206400. Its totient is φ = 2279476297728.

The previous prime is 11480500362209. The next prime is 11480500362313. The reversal of 11480500362240 is 4226300508411.

It is a happy number.

11480500362240 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 0 + 50 + 0 + 362 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11480500362195 and 11480500362204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1496997126 + ... + 1497004794.

Almost surely, 2^{11480500362240} is an apocalyptic number.

11480500362240 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 11480500362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27062620603200).

11480500362240 is an abundant number, since it is smaller than the sum of its proper divisors (42644740844160).

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

11480500362240 is a wasteful number, since it uses less digits than its factorization.

11480500362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11480500362240 in words is "eleven trillion, four hundred eighty billion, five hundred million, three hundred sixty-two thousand, two hundred forty".