11750780160 has 756 divisors, whose sum is σ = 49281835428. Its totient is φ = 2675441664.

The previous prime is 11750780141. The next prime is 11750780177. The reversal of 11750780160 is 6108705711.

It is a happy number.

11750780160 is a `hidden beast` number, since 1 + 17 + 507 + 80 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8787937536 + 2962842624 = 93744^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722752 + ... + 45723008.

It is an arithmetic number, because the mean of its divisors is an integer number (65187613).

Almost surely, 2^11750780160 is an apocalyptic number.

11750780160 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 11750780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24640917714).

11750780160 is an abundant number, since it is smaller than the sum of its proper divisors (37531055268).

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

11750780160 is an frugal number, since it uses more digits than its factorization.

11750780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 11750780160 in words is "eleven billion, seven hundred fifty million, seven hundred eighty thousand, one hundred sixty".