11172120693624 has 256 divisors, whose sum is σ = 35652754368000. Its totient is φ = 3205866885120.

The previous prime is 11172120693619. The next prime is 11172120693653. The reversal of 11172120693624 is 42639602127111.

11172120693624 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 2 + 12 + 0 + 6 + 9 + 3 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11172120693624.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 102557874 + ... + 102666750.

It is an arithmetic number, because the mean of its divisors is an integer number (139268571750).

Almost surely, 2^{11172120693624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11172120693624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826377184000).

11172120693624 is an abundant number, since it is smaller than the sum of its proper divisors (24480633674376).

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

11172120693624 is a wasteful number, since it uses less digits than its factorization.

11172120693624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111195 (or 111185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11172120693624 in words is "eleven trillion, one hundred seventy-two billion, one hundred twenty million, six hundred ninety-three thousand, six hundred twenty-four".