10015240320 has 192 divisors, whose sum is σ = 34858736640. Its totient is φ = 2649507840.

The previous prime is 10015240303. The next prime is 10015240331. The reversal of 10015240320 is 2304251001.

10015240320 is a `hidden beast` number, since 100 + 1 + 5 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10015240293 and 10015240302.

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 23 ways as a sum of consecutive naturals, for example, 724675 + ... + 738365.

It is an arithmetic number, because the mean of its divisors is an integer number (181555920).

Almost surely, 2^10015240320 is an apocalyptic number.

10015240320 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 10015240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429368320).

10015240320 is an abundant number, since it is smaller than the sum of its proper divisors (24843496320).

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

10015240320 is a wasteful number, since it uses less digits than its factorization.

10015240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10015240320 its reverse (2304251001), we get a palindrome (12319491321).

The spelling of 10015240320 in words is "ten billion, fifteen million, two hundred forty thousand, three hundred twenty".