10243106577792 has 2048 divisors, whose sum is σ = 37428314112000. Its totient is φ = 2723283763200.

The previous prime is 10243106577779. The next prime is 10243106577793. The reversal of 10243106577792 is 29777560134201.

10243106577792 is a `hidden beast` number, since 1 + 0 + 2 + 431 + 0 + 6 + 57 + 77 + 92 = 666.

It is a super-3 number, since 3×10243106577792³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243106577793) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 65242716978 + ... + 65242717134.

It is an arithmetic number, because the mean of its divisors is an integer number (18275544000).

Almost surely, 2^{10243106577792} is an apocalyptic number.

10243106577792 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 10243106577792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714157056000).

10243106577792 is an abundant number, since it is smaller than the sum of its proper divisors (27185207534208).

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

10243106577792 is a wasteful number, since it uses less digits than its factorization.

10243106577792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 10243106577792 in words is "ten trillion, two hundred forty-three billion, one hundred six million, five hundred seventy-seven thousand, seven hundred ninety-two".