11790735696 has 120 divisors (see below), whose sum is σ = 35206389504. Its totient is φ = 3670717440.

The previous prime is 11790735667. The next prime is 11790735727. The reversal of 11790735696 is 69653709711.

It is a happy number.

11790735696 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 0 + 73 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302305 + ... + 339071.

Almost surely, 2^11790735696 is an apocalyptic number.

11790735696 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 11790735696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603194752).

11790735696 is an abundant number, since it is smaller than the sum of its proper divisors (23415653808).

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

11790735696 is a wasteful number, since it uses less digits than its factorization.

11790735696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36929 (or 36920 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 11790735696 in words is "eleven billion, seven hundred ninety million, seven hundred thirty-five thousand, six hundred ninety-six".