516407470488 has 384 divisors, whose sum is σ = 1817133427200. Its totient is φ = 129015970560.

The previous prime is 516407470471. The next prime is 516407470489. The reversal of 516407470488 is 884074704615.

516407470488 is a `hidden beast` number, since 5 + 164 + 0 + 7 + 470 + 4 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516407470489) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 44934423 + ... + 44945913.

It is an arithmetic number, because the mean of its divisors is an integer number (4732118300).

Almost surely, 2^516407470488 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 516407470488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908566713600).

516407470488 is an abundant number, since it is smaller than the sum of its proper divisors (1300725956712).

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

516407470488 is a wasteful number, since it uses less digits than its factorization.

516407470488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 516407470488 in words is "five hundred sixteen billion, four hundred seven million, four hundred seventy thousand, four hundred eighty-eight".