11507738474880 has 384 divisors, whose sum is σ = 42113505938400. Its totient is φ = 2885585141760.

The previous prime is 11507738474873. The next prime is 11507738474917. The reversal of 11507738474880 is 8847483770511.

11507738474880 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 7 + 73 + 84 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108540295 + ... + 108646265.

Almost surely, 2^{11507738474880} is an apocalyptic number.

11507738474880 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 11507738474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056752969200).

11507738474880 is an abundant number, since it is smaller than the sum of its proper divisors (30605767463520).

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

11507738474880 is a wasteful number, since it uses less digits than its factorization.

11507738474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107122 (or 107107 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 11507738474880 in words is "eleven trillion, five hundred seven billion, seven hundred thirty-eight million, four hundred seventy-four thousand, eight hundred eighty".