11357817028992 has 384 divisors, whose sum is σ = 38681595912960. Its totient is φ = 3131427188736.

The previous prime is 11357817028963. The next prime is 11357817028997. The reversal of 11357817028992 is 29982071875311.

11357817028992 is a `hidden beast` number, since 1 + 1 + 35 + 78 + 170 + 289 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357817028997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28583098 + ... + 28977734.

It is an arithmetic number, because the mean of its divisors is an integer number (100733322690).

Almost surely, 2^{11357817028992} is an apocalyptic number.

11357817028992 is a gapful number since it is divisible by the number (12) 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 11357817028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340797956480).

11357817028992 is an abundant number, since it is smaller than the sum of its proper divisors (27323778883968).

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

11357817028992 is a wasteful number, since it uses less digits than its factorization.

11357817028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394790 (or 394775 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 11357817028992 in words is "eleven trillion, three hundred fifty-seven billion, eight hundred seventeen million, twenty-eight thousand, nine hundred ninety-two".