11608477701120 has 220 divisors, whose sum is σ = 41598222208884. Its totient is φ = 3095593943040.

The previous prime is 11608477701071. The next prime is 11608477701131. The reversal of 11608477701120 is 2110777480611.

11608477701120 is a `hidden beast` number, since 1 + 1 + 60 + 8 + 477 + 7 + 0 + 112 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3165780381696 + 8442697319424 = 1779264^2 + 2905632^2 .

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 19 ways as a sum of consecutive naturals, for example, 13580841 + ... + 14410280.

Almost surely, 2^{11608477701120} is an apocalyptic number.

11608477701120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11608477701120 is an abundant number, since it is smaller than the sum of its proper divisors (29989744507764).

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

11608477701120 is an equidigital number, since it uses as much as digits as its factorization.

11608477701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991158 (or 27991131 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 11608477701120 in words is "eleven trillion, six hundred eight billion, four hundred seventy-seven million, seven hundred one thousand, one hundred twenty".