515440253664 has 288 divisors, whose sum is σ = 1744187739840. Its totient is φ = 141319987200.

The previous prime is 515440253663. The next prime is 515440253687. The reversal of 515440253664 is 466352044515.

515440253664 is a `hidden beast` number, since 5 + 1 + 54 + 4 + 0 + 2 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515440253663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4990902 + ... + 5093130.

It is an arithmetic number, because the mean of its divisors is an integer number (6056207430).

Almost surely, 2^515440253664 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 515440253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872093869920).

515440253664 is an abundant number, since it is smaller than the sum of its proper divisors (1228747486176).

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

515440253664 is a wasteful number, since it uses less digits than its factorization.

515440253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102354 (or 102343 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 515440253664 in words is "five hundred fifteen billion, four hundred forty million, two hundred fifty-three thousand, six hundred sixty-four".