10585955476 has 48 divisors (see below), whose sum is σ = 19243948752. Its totient is φ = 5091840000.

The previous prime is 10585955461. The next prime is 10585955491. The reversal of 10585955476 is 67455958501.

It is an interprime number because it is at equal distance from previous prime (10585955461) and next prime (10585955491).

It can be written as a sum of positive squares in 8 ways, for example, as 1084384900 + 9501570576 = 32930^2 + 97476^2 .

It is a super-2 number, since 2×10585955476² (a number of 21 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525976 + ... + 3528976.

It is an arithmetic number, because the mean of its divisors is an integer number (400915599).

Almost surely, 2^10585955476 is an apocalyptic number.

It is an amenable number.

10585955476 is a deficient number, since it is larger than the sum of its proper divisors (8657993276).

10585955476 is a wasteful number, since it uses less digits than its factorization.

10585955476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 55.

The spelling of 10585955476 in words is "ten billion, five hundred eighty-five million, nine hundred fifty-five thousand, four hundred seventy-six".