10255207824 has 225 divisors, whose sum is σ = 31060519347. Its totient is φ = 3266500608.

The previous prime is 10255207793. The next prime is 10255207841. The reversal of 10255207824 is 42870255201.

It is a happy number.

The square root of 10255207824 is 101268.

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

10255207824 is a `hidden beast` number, since 10 + 2 + 552 + 0 + 78 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 10247917824 = 2700^2 + 101232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 105723744 + ... + 105723840.

Almost surely, 2^10255207824 is an apocalyptic number.

10255207824 is the 101268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10255207824

10255207824 is an abundant number, since it is smaller than the sum of its proper divisors (20805311523).

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

10255207824 is an frugal number, since it uses more digits than its factorization.

10255207824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Multiplying 10255207824 by its sum of digits (36), we get a square (369187481664 = 607608²).

10255207824 divided by its sum of digits (36) gives a square (284866884 = 16878²).

The spelling of 10255207824 in words is "ten billion, two hundred fifty-five million, two hundred seven thousand, eight hundred twenty-four".