10089041952 has 288 divisors, whose sum is σ = 32456894400. Its totient is φ = 2724986880.

The previous prime is 10089041929. The next prime is 10089041953. The reversal of 10089041952 is 25914098001.

It is a self number, because there is not a number n which added to its sum of digits gives 10089041952.

It is not an unprimeable number, because it can be changed into a prime (10089041953) 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, 3750624 + ... + 3753312.

It is an arithmetic number, because the mean of its divisors is an integer number (112697550).

Almost surely, 2^10089041952 is an apocalyptic number.

10089041952 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 10089041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228447200).

10089041952 is an abundant number, since it is smaller than the sum of its proper divisors (22367852448).

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

10089041952 is a wasteful number, since it uses less digits than its factorization.

10089041952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 10089041952 in words is "ten billion, eighty-nine million, forty-one thousand, nine hundred fifty-two".