516307059840 has 1536 divisors, whose sum is σ = 2105596477440. Its totient is φ = 106274488320.

The previous prime is 516307059833. The next prime is 516307059869. The reversal of 516307059840 is 48950703615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 516307059840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4065409857 + ... + 4065409983.

It is an arithmetic number, because the mean of its divisors is an integer number (1370831040).

Almost surely, 2^516307059840 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 516307059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052798238720).

516307059840 is an abundant number, since it is smaller than the sum of its proper divisors (1589289417600).

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

516307059840 is a wasteful number, since it uses less digits than its factorization.

516307059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 516307059840 in words is "five hundred sixteen billion, three hundred seven million, fifty-nine thousand, eight hundred forty".