11742696960 has 320 divisors, whose sum is σ = 40521995712. Its totient is φ = 2889875456.

The previous prime is 11742696949. The next prime is 11742696997. The reversal of 11742696960 is 6969624711.

11742696960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6918832 + ... + 6920528.

Almost surely, 2^11742696960 is an apocalyptic number.

11742696960 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 11742696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260997856).

11742696960 is an abundant number, since it is smaller than the sum of its proper divisors (28779298752).

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

11742696960 is a wasteful number, since it uses less digits than its factorization.

11742696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 11742696960 in words is "eleven billion, seven hundred forty-two million, six hundred ninety-six thousand, nine hundred sixty".