11393992960 has 576 divisors, whose sum is σ = 36168007680. Its totient is φ = 3344302080.

The previous prime is 11393992949. The next prime is 11393992993. The reversal of 11393992960 is 6929939311.

It is a junction number, because it is equal to n+sod(n) for n = 11393992898 and 11393992907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89716417 + ... + 89716543.

It is an arithmetic number, because the mean of its divisors is an integer number (62791680).

Almost surely, 2^11393992960 is an apocalyptic number.

11393992960 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 11393992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084003840).

11393992960 is an abundant number, since it is smaller than the sum of its proper divisors (24774014720).

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

11393992960 is a wasteful number, since it uses less digits than its factorization.

11393992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 52.

The spelling of 11393992960 in words is "eleven billion, three hundred ninety-three million, nine hundred ninety-two thousand, nine hundred sixty".