11792864160 has 288 divisors, whose sum is σ = 50173748352. Its totient is φ = 2450442240.

The previous prime is 11792864093. The next prime is 11792864189. The reversal of 11792864160 is 6146829711.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 57702 + ... + 164058.

It is an arithmetic number, because the mean of its divisors is an integer number (174214404).

Almost surely, 2^11792864160 is an apocalyptic number.

11792864160 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 11792864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086874176).

11792864160 is an abundant number, since it is smaller than the sum of its proper divisors (38380884192).

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

11792864160 is a wasteful number, since it uses less digits than its factorization.

11792864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106396 (or 106385 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11792864160 in words is "eleven billion, seven hundred ninety-two million, eight hundred sixty-four thousand, one hundred sixty".