10023525300030 has 256 divisors, whose sum is σ = 27630629010432. Its totient is φ = 2304889344000.

The previous prime is 10023525300007. The next prime is 10023525300073. The reversal of 10023525300030 is 3000352532001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 747404025 + ... + 747417435.

It is an arithmetic number, because the mean of its divisors is an integer number (107932144572).

Almost surely, 2^{10023525300030} is an apocalyptic number.

10023525300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023525300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815314505216).

10023525300030 is an abundant number, since it is smaller than the sum of its proper divisors (17607103710402).

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

10023525300030 is a wasteful number, since it uses less digits than its factorization.

10023525300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003.

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 10023525300030 its reverse (3000352532001), we get a palindrome (13023877832031).

The spelling of 10023525300030 in words is "ten trillion, twenty-three billion, five hundred twenty-five million, three hundred thousand, thirty".