10515306240 has 216 divisors, whose sum is σ = 37157859648. Its totient is φ = 2744279040.

The previous prime is 10515306229. The next prime is 10515306247. The reversal of 10515306240 is 4260351501.

10515306240 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 30 + 624 + 0 = 666.

It is a super-2 number, since 2×10515306240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10515306247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531730 + ... + 551150.

It is an arithmetic number, because the mean of its divisors is an integer number (172027128).

Almost surely, 2^10515306240 is an apocalyptic number.

10515306240 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 10515306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578929824).

10515306240 is an abundant number, since it is smaller than the sum of its proper divisors (26642553408).

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

10515306240 is a wasteful number, since it uses less digits than its factorization.

10515306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19478 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10515306240 its reverse (4260351501), we get a palindrome (14775657741).

The spelling of 10515306240 in words is "ten billion, five hundred fifteen million, three hundred six thousand, two hundred forty".