11285277696 has 1056 divisors, whose sum is σ = 45779435520. Its totient is φ = 2687385600.

The previous prime is 11285277667. The next prime is 11285277749. The reversal of 11285277696 is 69677258211.

11285277696 is a `hidden beast` number, since 1 + 1 + 28 + 527 + 7 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364041201 + ... + 364041231.

Almost surely, 2^11285277696 is an apocalyptic number.

11285277696 is a gapful number since it is divisible by the number (16) 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 11285277696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889717760).

11285277696 is an abundant number, since it is smaller than the sum of its proper divisors (34494157824).

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

11285277696 is a wasteful number, since it uses less digits than its factorization.

11285277696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 11285277696 in words is "eleven billion, two hundred eighty-five million, two hundred seventy-seven thousand, six hundred ninety-six".