11285760640 has 512 divisors, whose sum is σ = 35691840000. Its totient is φ = 3309895680.

The previous prime is 11285760617. The next prime is 11285760643. The reversal of 11285760640 is 4606758211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11285760593 and 11285760602.

It is not an unprimeable number, because it can be changed into a prime (11285760643) 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, 75743286 + ... + 75743434.

It is an arithmetic number, because the mean of its divisors is an integer number (69710625).

Almost surely, 2^11285760640 is an apocalyptic number.

11285760640 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 11285760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845920000).

11285760640 is an abundant number, since it is smaller than the sum of its proper divisors (24406079360).

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

11285760640 is a wasteful number, since it uses less digits than its factorization.

11285760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 11285760640 in words is "eleven billion, two hundred eighty-five million, seven hundred sixty thousand, six hundred forty".