10268999702784 has 243 divisors, whose sum is σ = 29949418442307. Its totient is φ = 3383981568000.

The previous prime is 10268999702771. The next prime is 10268999702789. The reversal of 10268999702784 is 48720799986201.

The square root of 10268999702784 is 3204528.

It is a perfect power (a square), and thus also a powerful number.

10268999702784 is a `hidden beast` number, since 1 + 0 + 268 + 9 + 9 + 97 + 0 + 278 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6304759421184 + 3964240281600 = 2510928^2 + 1991040^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10268999702789) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15535551414 + ... + 15535552074.

Almost surely, 2^{10268999702784} is an apocalyptic number.

10268999702784 is the 3204528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10268999702784

10268999702784 is an abundant number, since it is smaller than the sum of its proper divisors (19680418739523).

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

10268999702784 is an frugal number, since it uses more digits than its factorization.

10268999702784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 10268999702784 in words is "ten trillion, two hundred sixty-eight billion, nine hundred ninety-nine million, seven hundred two thousand, seven hundred eighty-four".