11358960480 has 720 divisors, whose sum is σ = 48220292736. Its totient is φ = 2508226560.

The previous prime is 11358960469. The next prime is 11358960491. The reversal of 11358960480 is 8406985311.

11358960480 is a `hidden beast` number, since 1 + 1 + 3 + 589 + 60 + 4 + 8 + 0 = 666.

11358960480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11358960469) and next prime (11358960491).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 19685952 + ... + 19686528.

Almost surely, 2^11358960480 is an apocalyptic number.

11358960480 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 11358960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24110146368).

11358960480 is an abundant number, since it is smaller than the sum of its proper divisors (36861332256).

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

11358960480 is a wasteful number, since it uses less digits than its factorization.

11358960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11358960480 in words is "eleven billion, three hundred fifty-eight million, nine hundred sixty thousand, four hundred eighty".