515964163680 has 768 divisors, whose sum is σ = 2136637440000. Its totient is φ = 113798338560.

The previous prime is 515964163667. The next prime is 515964163697. The reversal of 515964163680 is 86361469515.

515964163680 is a `hidden beast` number, since 5 + 1 + 596 + 4 + 16 + 36 + 8 + 0 = 666.

It is a super-2 number, since 2×515964163680² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467782009 + ... + 467783111.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080000).

Almost surely, 2^515964163680 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 515964163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068318720000).

515964163680 is an abundant number, since it is smaller than the sum of its proper divisors (1620673276320).

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

515964163680 is a wasteful number, since it uses less digits than its factorization.

515964163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 515964163680 in words is "five hundred fifteen billion, nine hundred sixty-four million, one hundred sixty-three thousand, six hundred eighty".