10252835477838 has 96 divisors (see below), whose sum is σ = 22542399079200. Its totient is φ = 3367574396928.

The previous prime is 10252835477809. The next prime is 10252835477893. The reversal of 10252835477838 is 83877453825201.

It is a happy number.

10252835477838 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 8 + 3 + 547 + 7 + 83 + 8 = 666.

It is a super-3 number, since 3×10252835477838³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242885278 + ... + 242927486.

It is an arithmetic number, because the mean of its divisors is an integer number (234816657075).

Almost surely, 2^{10252835477838} is an apocalyptic number.

10252835477838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10252835477838 is an abundant number, since it is smaller than the sum of its proper divisors (12289563601362).

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

10252835477838 is a wasteful number, since it uses less digits than its factorization.

10252835477838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43026 (or 43023 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 10252835477838 in words is "ten trillion, two hundred fifty-two billion, eight hundred thirty-five million, four hundred seventy-seven thousand, eight hundred thirty-eight".