10557183456792 has 1920 divisors, whose sum is σ = 40352018572800. Its totient is φ = 2551995113472.

The previous prime is 10557183456761. The next prime is 10557183456821. The reversal of 10557183456792 is 29765438175501.

10557183456792 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 18 + 3 + 4 + 567 + 9 + 2 = 666.

It is a super-2 number, since 2×10557183456792² (a number of 27 digits) contains 22 as substring.

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

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 479 ways as a sum of consecutive naturals, for example, 16317130213 + ... + 16317130859.

It is an arithmetic number, because the mean of its divisors is an integer number (21016676340).

It is a 1-persistent number, because it is pandigital, but 2⋅10557183456792 = 21114366913584 is not.

Almost surely, 2^{10557183456792} is an apocalyptic number.

10557183456792 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 10557183456792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176009286400).

10557183456792 is an abundant number, since it is smaller than the sum of its proper divisors (29794835116008).

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

10557183456792 is a wasteful number, since it uses less digits than its factorization.

10557183456792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 10557183456792 in words is "ten trillion, five hundred fifty-seven billion, one hundred eighty-three million, four hundred fifty-six thousand, seven hundred ninety-two".