11602068480 has 704 divisors, whose sum is σ = 44568921600. Its totient is φ = 2854748160.

The previous prime is 11602068473. The next prime is 11602068497. The reversal of 11602068480 is 8486020611.

11602068480 is a `hidden beast` number, since 1 + 1 + 602 + 0 + 6 + 8 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130360276 + ... + 130360364.

Almost surely, 2^11602068480 is an apocalyptic number.

11602068480 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 11602068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284460800).

11602068480 is an abundant number, since it is smaller than the sum of its proper divisors (32966853120).

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

11602068480 is a wasteful number, since it uses less digits than its factorization.

11602068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11602068480 in words is "eleven billion, six hundred two million, sixty-eight thousand, four hundred eighty".