10515345016416 has 96 divisors (see below), whose sum is σ = 29246108663520. Its totient is φ = 3296715472896.

The previous prime is 10515345016387. The next prime is 10515345016507. The reversal of 10515345016416 is 61461054351501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10515345016416² (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 15 ways as a sum of consecutive naturals, for example, 266440 + ... + 4593656.

It is an arithmetic number, because the mean of its divisors is an integer number (304646965245).

Almost surely, 2^{10515345016416} is an apocalyptic number.

10515345016416 is a gapful number since it is divisible by the number (16) 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 10515345016416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623054331760).

10515345016416 is an abundant number, since it is smaller than the sum of its proper divisors (18730763647104).

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

10515345016416 is a wasteful number, since it uses less digits than its factorization.

10515345016416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328736 (or 4328728 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

Adding to 10515345016416 its reverse (61461054351501), we get a palindrome (71976399367917).

The spelling of 10515345016416 in words is "ten trillion, five hundred fifteen billion, three hundred forty-five million, sixteen thousand, four hundred sixteen".