11364178560 has 512 divisors, whose sum is σ = 43758489600. Its totient is φ = 2452488192.

The previous prime is 11364178543. The next prime is 11364178561. The reversal of 11364178560 is 6587146311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11364178561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29984451 + ... + 29984829.

It is an arithmetic number, because the mean of its divisors is an integer number (85465800).

Almost surely, 2^11364178560 is an apocalyptic number.

11364178560 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 11364178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879244800).

11364178560 is an abundant number, since it is smaller than the sum of its proper divisors (32394311040).

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

11364178560 is a wasteful number, since it uses less digits than its factorization.

11364178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11364178560 in words is "eleven billion, three hundred sixty-four million, one hundred seventy-eight thousand, five hundred sixty".