11283692640 has 384 divisors, whose sum is σ = 41163655680. Its totient is φ = 2569420800.

The previous prime is 11283692579. The next prime is 11283692647. The reversal of 11283692640 is 4629638211.

It is a junction number, because it is equal to n+sod(n) for n = 11283692592 and 11283692601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283692647) 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, 13743430 + ... + 13744250.

It is an arithmetic number, because the mean of its divisors is an integer number (107197020).

Almost surely, 2^11283692640 is an apocalyptic number.

11283692640 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 11283692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20581827840).

11283692640 is an abundant number, since it is smaller than the sum of its proper divisors (29879963040).

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

11283692640 is a wasteful number, since it uses less digits than its factorization.

11283692640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 11283692640 in words is "eleven billion, two hundred eighty-three million, six hundred ninety-two thousand, six hundred forty".