515087400960 has 864 divisors, whose sum is σ = 2066961903552. Its totient is φ = 117272739840.

The previous prime is 515087400953. The next prime is 515087400967. The reversal of 515087400960 is 69004780515.

515087400960 is a `hidden beast` number, since 5 + 150 + 8 + 7 + 400 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (515087400953) and next prime (515087400967).

It is a super-3 number, since 3×515087400960³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (515087400967) 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, 1102970647 + ... + 1102971113.

It is an arithmetic number, because the mean of its divisors is an integer number (2392317018).

Almost surely, 2^515087400960 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 515087400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033480951776).

515087400960 is an abundant number, since it is smaller than the sum of its proper divisors (1551874502592).

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

515087400960 is a wasteful number, since it uses less digits than its factorization.

515087400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 515087400960 in words is "five hundred fifteen billion, eighty-seven million, four hundred thousand, nine hundred sixty".