10030024000 has 336 divisors, whose sum is σ = 27536461056. Its totient is φ = 3611520000.

The previous prime is 10030023989. The next prime is 10030024027. The reversal of 10030024000 is 42003001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66423925 + ... + 66424075.

Almost surely, 2^10030024000 is an apocalyptic number.

10030024000 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 10030024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768230528).

10030024000 is an abundant number, since it is smaller than the sum of its proper divisors (17506437056).

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

10030024000 is a wasteful number, since it uses less digits than its factorization.

10030024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10030024000 its reverse (42003001), we get a palindrome (10072027001).

The spelling of 10030024000 in words is "ten billion, thirty million, twenty-four thousand".