11908445757120 has 896 divisors, whose sum is σ = 48110373273600. Its totient is φ = 2746378137600.

The previous prime is 11908445757119. The next prime is 11908445757127. The reversal of 11908445757120 is 2175754480911.

11908445757120 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 8 + 4 + 45 + 7 + 571 + 20 = 666.

It is a super-2 number, since 2×11908445757120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11908445757127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 173793907 + ... + 173862413.

Almost surely, 2^{11908445757120} is an apocalyptic number.

11908445757120 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 11908445757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24055186636800).

11908445757120 is an abundant number, since it is smaller than the sum of its proper divisors (36201927516480).

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

11908445757120 is a wasteful number, since it uses less digits than its factorization.

11908445757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68634 (or 68618 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11908445757120 in words is "eleven trillion, nine hundred eight billion, four hundred forty-five million, seven hundred fifty-seven thousand, one hundred twenty".