10585408502620 has 48 divisors (see below), whose sum is σ = 25444613976768. Its totient is φ = 3623620976640.

The previous prime is 10585408502597. The next prime is 10585408502633. The reversal of 10585408502620 is 2620580458501.

10585408502620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10585408502620² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58888467 + ... + 59067946.

It is an arithmetic number, because the mean of its divisors is an integer number (530096124516).

Almost surely, 2^{10585408502620} is an apocalyptic number.

10585408502620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585408502620 is an abundant number, since it is smaller than the sum of its proper divisors (14859205474148).

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

10585408502620 is a wasteful number, since it uses less digits than its factorization.

10585408502620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117957070 (or 117957068 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 10585408502620 in words is "ten trillion, five hundred eighty-five billion, four hundred eight million, five hundred two thousand, six hundred twenty".