10457517024352 has 48 divisors (see below), whose sum is σ = 21799805529600. Its totient is φ = 4921072478208.

The previous prime is 10457517024347. The next prime is 10457517024391. The reversal of 10457517024352 is 25342071575401.

It is a super-2 number, since 2×10457517024352² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26760673 + ... + 27148639.

It is an arithmetic number, because the mean of its divisors is an integer number (454162615200).

Almost surely, 2^{10457517024352} is an apocalyptic number.

It is an amenable number.

10457517024352 is an abundant number, since it is smaller than the sum of its proper divisors (11342288505248).

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

10457517024352 is a wasteful number, since it uses less digits than its factorization.

10457517024352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437543 (or 437535 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 46.

Adding to 10457517024352 its reverse (25342071575401), we get a palindrome (35799588599753).

The spelling of 10457517024352 in words is "ten trillion, four hundred fifty-seven billion, five hundred seventeen million, twenty-four thousand, three hundred fifty-two".