10239000189264 has 720 divisors, whose sum is σ = 37870086159360. Its totient is φ = 2648223486720.

The previous prime is 10239000189263. The next prime is 10239000189323. The reversal of 10239000189264 is 46298100093201.

10239000189264 is a `hidden beast` number, since 102 + 390 + 0 + 0 + 18 + 92 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239000189263) 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 143 ways as a sum of consecutive naturals, for example, 500845827 + ... + 500866269.

It is an arithmetic number, because the mean of its divisors is an integer number (52597341888).

Almost surely, 2^{10239000189264} is an apocalyptic number.

10239000189264 is a gapful number since it is divisible by the number (14) 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 10239000189264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935043079680).

10239000189264 is an abundant number, since it is smaller than the sum of its proper divisors (27631085970096).

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

10239000189264 is a wasteful number, since it uses less digits than its factorization.

10239000189264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20730 (or 20705 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10239000189264 in words is "ten trillion, two hundred thirty-nine billion, one hundred eighty-nine thousand, two hundred sixty-four".