10532515315040 has 384 divisors, whose sum is σ = 27322639690752. Its totient is φ = 3825897799680.

The previous prime is 10532515315037. The next prime is 10532515315087. The reversal of 10532515315040 is 4051351523501.

It is a super-3 number, since 3×10532515315040³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839037404 + ... + 839049956.

It is an arithmetic number, because the mean of its divisors is an integer number (71152707528).

Almost surely, 2^{10532515315040} is an apocalyptic number.

10532515315040 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 10532515315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661319845376).

10532515315040 is an abundant number, since it is smaller than the sum of its proper divisors (16790124375712).

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

10532515315040 is a wasteful number, since it uses less digits than its factorization.

10532515315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12774 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 10532515315040 its reverse (4051351523501), we get a palindrome (14583866838541).

The spelling of 10532515315040 in words is "ten trillion, five hundred thirty-two billion, five hundred fifteen million, three hundred fifteen thousand, forty".