10280795751424 has 99 divisors (see below), whose sum is σ = 22592202282741. Its totient is φ = 4672575959040.

The previous prime is 10280795751419. The next prime is 10280795751511. The reversal of 10280795751424 is 42415759708201.

The square root of 10280795751424 is 3206368.

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

It can be written as a sum of positive squares in only one way, i.e., 1159429325824 + 9121366425600 = 1076768^2 + 3020160^2 .

It is a super-2 number, since 2×10280795751424² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1128636982 + ... + 1128646090.

Almost surely, 2^{10280795751424} is an apocalyptic number.

10280795751424 is the 3206368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10280795751424

10280795751424 is an abundant number, since it is smaller than the sum of its proper divisors (12311406531317).

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

10280795751424 is an frugal number, since it uses more digits than its factorization.

10280795751424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 10280795751424 in words is "ten trillion, two hundred eighty billion, seven hundred ninety-five million, seven hundred fifty-one thousand, four hundred twenty-four".