11964548160 has 168 divisors, whose sum is σ = 41717534040. Its totient is φ = 3146784768.

The previous prime is 11964548153. The next prime is 11964548171. The reversal of 11964548160 is 6184546911.

11964548160 is a `hidden beast` number, since 1 + 1 + 96 + 4 + 548 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 527529024 + 11437019136 = 22968^2 + 106944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181786 + ... + 238694.

It is an arithmetic number, because the mean of its divisors is an integer number (248318655).

Almost surely, 2^11964548160 is an apocalyptic number.

11964548160 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 11964548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858767020).

11964548160 is an abundant number, since it is smaller than the sum of its proper divisors (29752985880).

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

11964548160 is a wasteful number, since it uses less digits than its factorization.

11964548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57005 (or 56992 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11964548160 in words is "eleven billion, nine hundred sixty-four million, five hundred forty-eight thousand, one hundred sixty".