10585268532748 has 48 divisors (see below), whose sum is σ = 22978560016384. Its totient is φ = 4154605680960.

The previous prime is 10585268532737. The next prime is 10585268532809. The reversal of 10585268532748 is 84723586258501.

It is a happy number.

It is a super-2 number, since 2×10585268532748² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10585268532748.

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 15 ways as a sum of consecutive naturals, for example, 114443568 + ... + 114536023.

Almost surely, 2^{10585268532748} is an apocalyptic number.

It is an amenable number.

10585268532748 is an abundant number, since it is smaller than the sum of its proper divisors (12393291483636).

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

10585268532748 is a wasteful number, since it uses less digits than its factorization.

10585268532748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228979742 (or 228979740 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 64.

The spelling of 10585268532748 in words is "ten trillion, five hundred eighty-five billion, two hundred sixty-eight million, five hundred thirty-two thousand, seven hundred forty-eight".