10585414372 has 36 divisors (see below), whose sum is σ = 20070733620. Its totient is φ = 4882730112.

The previous prime is 10585414319. The next prime is 10585414417. The reversal of 10585414372 is 27341458501.

It can be written as a sum of positive squares in 6 ways, for example, as 2237668416 + 8347745956 = 47304^2 + 91366^2 .

It is a super-2 number, since 2×10585414372² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546654 + ... + 1553482.

Almost surely, 2^10585414372 is an apocalyptic number.

It is an amenable number.

10585414372 is a deficient number, since it is larger than the sum of its proper divisors (9485319248).

10585414372 is a wasteful number, since it uses less digits than its factorization.

10585414372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 10585414372 in words is "ten billion, five hundred eighty-five million, four hundred fourteen thousand, three hundred seventy-two".