11692053084816 has 720 divisors, whose sum is σ = 37944320693760. Its totient is φ = 3351873208320.

The previous prime is 11692053084797. The next prime is 11692053084853. The reversal of 11692053084816 is 61848035029611.

It is a happy number.

11692053084816 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 20 + 530 + 8 + 4 + 81 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11967300520 + ... + 11967301496.

It is an arithmetic number, because the mean of its divisors is an integer number (52700445408).

Almost surely, 2^{11692053084816} is an apocalyptic number.

11692053084816 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 11692053084816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972160346880).

11692053084816 is an abundant number, since it is smaller than the sum of its proper divisors (26252267608944).

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

11692053084816 is a wasteful number, since it uses less digits than its factorization.

11692053084816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11692053084816 in words is "eleven trillion, six hundred ninety-two billion, fifty-three million, eighty-four thousand, eight hundred sixteen".