11192978160 has 720 divisors, whose sum is σ = 49318611264. Its totient is φ = 2219802624.

The previous prime is 11192978149. The next prime is 11192978207. The reversal of 11192978160 is 6187929111.

It is a happy number.

11192978160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 14479534 + ... + 14480306.

Almost surely, 2^11192978160 is an apocalyptic number.

11192978160 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 11192978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24659305632).

11192978160 is an abundant number, since it is smaller than the sum of its proper divisors (38125633104).

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

11192978160 is a wasteful number, since it uses less digits than its factorization.

11192978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 11192978160 in words is "eleven billion, one hundred ninety-two million, nine hundred seventy-eight thousand, one hundred sixty".