11761053696 has 468 divisors, whose sum is σ = 41952598272. Its totient is φ = 3154378752.

The previous prime is 11761053691. The next prime is 11761053697. The reversal of 11761053696 is 69635016711.

11761053696 is a `hidden beast` number, since 1 + 17 + 6 + 10 + 536 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11761053691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30707521 + ... + 30707903.

It is an arithmetic number, because the mean of its divisors is an integer number (89642304).

Almost surely, 2^11761053696 is an apocalyptic number.

11761053696 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 11761053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976299136).

11761053696 is an abundant number, since it is smaller than the sum of its proper divisors (30191544576).

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

11761053696 is a wasteful number, since it uses less digits than its factorization.

11761053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11761053696 in words is "eleven billion, seven hundred sixty-one million, fifty-three thousand, six hundred ninety-six".