516502078848 has 384 divisors, whose sum is σ = 1834444908000. Its totient is φ = 142481977344.

The previous prime is 516502078847. The next prime is 516502078907. The reversal of 516502078848 is 848870205615.

516502078848 is a `hidden beast` number, since 5 + 16 + 502 + 0 + 7 + 88 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 516502078794 and 516502078803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516502078847) 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, 4858390 + ... + 4963562.

Almost surely, 2^516502078848 is an apocalyptic number.

516502078848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516502078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917222454000).

516502078848 is an abundant number, since it is smaller than the sum of its proper divisors (1317942829152).

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

516502078848 is a wasteful number, since it uses less digits than its factorization.

516502078848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105239 (or 105214 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 516502078848 in words is "five hundred sixteen billion, five hundred two million, seventy-eight thousand, eight hundred forty-eight".