10242117585 has 96 divisors (see below), whose sum is σ = 21603359232. Its totient is φ = 4381931520.

The previous prime is 10242117569. The next prime is 10242117607. The reversal of 10242117585 is 58571124201.

It is a happy number.

It is not a de Polignac number, because 10242117585 - 2⁴ = 10242117569 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 963972 + ... + 974538.

It is an arithmetic number, because the mean of its divisors is an integer number (225034992).

Almost surely, 2^10242117585 is an apocalyptic number.

10242117585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10242117585 is an abundant number, since it is smaller than the sum of its proper divisors (11361241647).

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

10242117585 is a wasteful number, since it uses less digits than its factorization.

10242117585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10783 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 10242117585 in words is "ten billion, two hundred forty-two million, one hundred seventeen thousand, five hundred eighty-five".