10010090223952 has 160 divisors (see below), whose sum is σ = 24121153647360. Its totient is φ = 3918501826560.

The previous prime is 10010090223949. The next prime is 10010090223953. The reversal of 10010090223952 is 25932209001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010090223953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120732303 + ... + 120815185.

It is an arithmetic number, because the mean of its divisors is an integer number (150757210296).

Almost surely, 2^{10010090223952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010090223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060576823680).

10010090223952 is an abundant number, since it is smaller than the sum of its proper divisors (14111063423408).

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

10010090223952 is a wasteful number, since it uses less digits than its factorization.

10010090223952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83781 (or 83775 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

Adding to 10010090223952 its reverse (25932209001001), we get a palindrome (35942299224953).

The spelling of 10010090223952 in words is "ten trillion, ten billion, ninety million, two hundred twenty-three thousand, nine hundred fifty-two".