10024013952 has 256 divisors, whose sum is σ = 30601795200. Its totient is φ = 3227848704.

The previous prime is 10024013933. The next prime is 10024013957. The reversal of 10024013952 is 25931042001.

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 (10024013957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35420403 + ... + 35420685.

Almost surely, 2^10024013952 is an apocalyptic number.

10024013952 is a gapful number since it is divisible by the number (12) 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 10024013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300897600).

10024013952 is an abundant number, since it is smaller than the sum of its proper divisors (20577781248).

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

10024013952 is a wasteful number, since it uses less digits than its factorization.

10024013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10024013952 its reverse (25931042001), we get a palindrome (35955055953).

The spelling of 10024013952 in words is "ten billion, twenty-four million, thirteen thousand, nine hundred fifty-two".