10258849755 has 96 divisors (see below), whose sum is σ = 22332630528. Its totient is φ = 4232102400.

The previous prime is 10258849649. The next prime is 10258849763. The reversal of 10258849755 is 55794885201.

10258849755 is a `hidden beast` number, since 1 + 0 + 2 + 588 + 4 + 9 + 7 + 55 = 666.

It is not a de Polignac number, because 10258849755 - 2⁹ = 10258849243 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463900 + ... + 485510.

It is an arithmetic number, because the mean of its divisors is an integer number (232631568).

Almost surely, 2^10258849755 is an apocalyptic number.

10258849755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10258849755 is an abundant number, since it is smaller than the sum of its proper divisors (12073780773).

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

10258849755 is a wasteful number, since it uses less digits than its factorization.

10258849755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21777 (or 21774 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 10258849755 in words is "ten billion, two hundred fifty-eight million, eight hundred forty-nine thousand, seven hundred fifty-five".