515266540014096 has 480 divisors, whose sum is σ = 1670358250229760. Its totient is φ = 152676687808512.

The previous prime is 515266540014073. The next prime is 515266540014097. The reversal of 515266540014096 is 690410045662515.

It is a happy number.

515266540014096 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 6 + 6 + 5 + 400 + 140 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (515266540014097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560933290 + ... + 561851126.

It is an arithmetic number, because the mean of its divisors is an integer number (3479913021312).

Almost surely, 2^{515266540014096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515266540014096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835179125114880).

515266540014096 is an abundant number, since it is smaller than the sum of its proper divisors (1155091710215664).

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

515266540014096 is a wasteful number, since it uses less digits than its factorization.

515266540014096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918285 (or 918267 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 515266540014096 in words is "five hundred fifteen trillion, two hundred sixty-six billion, five hundred forty million, fourteen thousand, ninety-six".