10515540012000 has 384 divisors, whose sum is σ = 35652217910400. Its totient is φ = 2706278400000.

The previous prime is 10515540011939. The next prime is 10515540012059. The reversal of 10515540012000 is 21004551501.

It is a super-2 number, since 2×10515540012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1044342966 + ... + 1044353034.

It is an arithmetic number, because the mean of its divisors is an integer number (92844317475).

Almost surely, 2^{10515540012000} is an apocalyptic number.

10515540012000 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 10515540012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826108955200).

10515540012000 is an abundant number, since it is smaller than the sum of its proper divisors (25136677898400).

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

10515540012000 is a wasteful number, since it uses less digits than its factorization.

10515540012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 10515540012000 its reverse (21004551501), we get a palindrome (10536544563501).

The spelling of 10515540012000 in words is "ten trillion, five hundred fifteen billion, five hundred forty million, twelve thousand".