10485842688 has 180 divisors, whose sum is σ = 31410642648. Its totient is φ = 3493601280.

The previous prime is 10485842681. The next prime is 10485842693. The reversal of 10485842688 is 88624858401.

10485842688 is a `hidden beast` number, since 1 + 0 + 485 + 84 + 2 + 6 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10485842681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5037808 + ... + 5039888.

Almost surely, 2^10485842688 is an apocalyptic number.

10485842688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10485842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705321324).

10485842688 is an abundant number, since it is smaller than the sum of its proper divisors (20924799960).

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

10485842688 is an frugal number, since it uses more digits than its factorization.

10485842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 10485842688 in words is "ten billion, four hundred eighty-five million, eight hundred forty-two thousand, six hundred eighty-eight".