10620090585 has 48 divisors (see below), whose sum is σ = 19935115200. Its totient is φ = 5199092352.

The previous prime is 10620090583. The next prime is 10620090643. The reversal of 10620090585 is 58509002601.

It is a happy number.

10620090585 is a `hidden beast` number, since 10 + 62 + 0 + 0 + 9 + 0 + 585 = 666.

It is not a de Polignac number, because 10620090585 - 2¹ = 10620090583 is a prime.

It is a super-2 number, since 2×10620090585² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10620090583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54006 + ... + 155424.

It is an arithmetic number, because the mean of its divisors is an integer number (415314900).

Almost surely, 2^10620090585 is an apocalyptic number.

10620090585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10620090585 is a deficient number, since it is larger than the sum of its proper divisors (9315024615).

10620090585 is a wasteful number, since it uses less digits than its factorization.

10620090585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101622 (or 101619 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10620090585 in words is "ten billion, six hundred twenty million, ninety thousand, five hundred eighty-five".