10289674752 has 160 divisors (see below), whose sum is σ = 32340025344. Its totient is φ = 2844979200.

The previous prime is 10289674727. The next prime is 10289674763. The reversal of 10289674752 is 25747698201.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10289674695 and 10289674704.

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, 317877 + ... + 348747.

Almost surely, 2^10289674752 is an apocalyptic number.

10289674752 is a gapful number since it is divisible by the number (12) 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 10289674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170012672).

10289674752 is an abundant number, since it is smaller than the sum of its proper divisors (22050350592).

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

10289674752 is an equidigital number, since it uses as much as digits as its factorization.

10289674752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30930 (or 30914 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 10289674752 in words is "ten billion, two hundred eighty-nine million, six hundred seventy-four thousand, seven hundred fifty-two".