11876351760 has 1280 divisors, whose sum is σ = 54716497920. Its totient is φ = 2299207680.

The previous prime is 11876351719. The next prime is 11876351771. The reversal of 11876351760 is 6715367811.

11876351760 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 635 + 1 + 7 + 6 + 0 = 666.

11876351760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11876351760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 167272525 + ... + 167272595.

It is an arithmetic number, because the mean of its divisors is an integer number (42747264).

Almost surely, 2^11876351760 is an apocalyptic number.

11876351760 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 11876351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358248960).

11876351760 is an abundant number, since it is smaller than the sum of its proper divisors (42840146160).

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

11876351760 is a wasteful number, since it uses less digits than its factorization.

11876351760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11876351760 in words is "eleven billion, eight hundred seventy-six million, three hundred fifty-one thousand, seven hundred sixty".