11696742400000 has 816 divisors, whose sum is σ = 34403935507200. Its totient is φ = 3892838400000.

The previous prime is 11696742399997. The next prime is 11696742400019. The reversal of 11696742400000 is 424769611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58777599901 + ... + 58777600099.

Almost surely, 2^{11696742400000} is an apocalyptic number.

11696742400000 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 11696742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201967753600).

11696742400000 is an abundant number, since it is smaller than the sum of its proper divisors (22707193107200).

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

11696742400000 is an frugal number, since it uses more digits than its factorization.

11696742400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 11696742400000 in words is "eleven trillion, six hundred ninety-six billion, seven hundred forty-two million, four hundred thousand".