11608475028480 has 1056 divisors, whose sum is σ = 47317338432000. Its totient is φ = 2600946892800.

The previous prime is 11608475028473. The next prime is 11608475028523. The reversal of 11608475028480 is 8482057480611.

11608475028480 is a `hidden beast` number, since 1 + 1 + 60 + 84 + 7 + 5 + 0 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×11608475028480² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 394844821 + ... + 394874219.

Almost surely, 2^{11608475028480} is an apocalyptic number.

11608475028480 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 11608475028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658669216000).

11608475028480 is an abundant number, since it is smaller than the sum of its proper divisors (35708863403520).

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

11608475028480 is a wasteful number, since it uses less digits than its factorization.

11608475028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29501 (or 29480 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 11608475028480 in words is "eleven trillion, six hundred eight billion, four hundred seventy-five million, twenty-eight thousand, four hundred eighty".