10239004800 has 384 divisors, whose sum is σ = 39681835200. Its totient is φ = 2569420800.

The previous prime is 10239004771. The next prime is 10239004801. The reversal of 10239004800 is 840093201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10239004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465315 + ... + 1472285.

Almost surely, 2^10239004800 is an apocalyptic number.

10239004800 is a gapful number since it is divisible by the number (10) 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 10239004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840917600).

10239004800 is an abundant number, since it is smaller than the sum of its proper divisors (29442830400).

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

10239004800 is a wasteful number, since it uses less digits than its factorization.

10239004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10239004800 in words is "ten billion, two hundred thirty-nine million, four thousand, eight hundred".