11685696422400 has 3840 divisors, whose sum is σ = 61007815249920. Its totient is φ = 2108502835200.

The previous prime is 11685696422381. The next prime is 11685696422419. The reversal of 11685696422400 is 422469658611.

It is a happy number.

11685696422400 is a `hidden beast` number, since 1 + 1 + 68 + 56 + 96 + 42 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11685696422381) and next prime (11685696422419).

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 5881074207 + ... + 5881076193.

It is an arithmetic number, because the mean of its divisors is an integer number (15887451888).

Almost surely, 2^{11685696422400} is an apocalyptic number.

11685696422400 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 11685696422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30503907624960).

11685696422400 is an abundant number, since it is smaller than the sum of its proper divisors (49322118827520).

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

11685696422400 is a wasteful number, since it uses less digits than its factorization.

11685696422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11685696422400 in words is "eleven trillion, six hundred eighty-five billion, six hundred ninety-six million, four hundred twenty-two thousand, four hundred".