10152024000 has 112 divisors (see below), whose sum is σ = 33522062496. Its totient is φ = 2707200000.

The previous prime is 10152023993. The next prime is 10152024037. The reversal of 10152024000 is 42025101.

10152024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187501 + ... + 235500.

Almost surely, 2^10152024000 is an apocalyptic number.

10152024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152024000 is an abundant number, since it is smaller than the sum of its proper divisors (23370038496).

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

10152024000 is an equidigital number, since it uses as much as digits as its factorization.

10152024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423031 (or 423011 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10152024000 its reverse (42025101), we get a palindrome (10194049101).

The spelling of 10152024000 in words is "ten billion, one hundred fifty-two million, twenty-four thousand".