10510315501140 has 1152 divisors, whose sum is σ = 43170689802240. Its totient is φ = 2006190084096.

The previous prime is 10510315501097. The next prime is 10510315501207. The reversal of 10510315501140 is 4110551301501.

10510315501140 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 3 + 15 + 501 + 140 = 666.

It is a super-2 number, since 2×10510315501140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8496616602 + ... + 8496617838.

It is an arithmetic number, because the mean of its divisors is an integer number (37474557120).

Almost surely, 2^{10510315501140} is an apocalyptic number.

10510315501140 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 10510315501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585344901120).

10510315501140 is an abundant number, since it is smaller than the sum of its proper divisors (32660374301100).

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

10510315501140 is a wasteful number, since it uses less digits than its factorization.

10510315501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 10510315501140 its reverse (4110551301501), we get a palindrome (14620866802641).

The spelling of 10510315501140 in words is "ten trillion, five hundred ten billion, three hundred fifteen million, five hundred one thousand, one hundred forty".