516050196480 has 2304 divisors, whose sum is σ = 2379967349760. Its totient is φ = 104342224896.

The previous prime is 516050196451. The next prime is 516050196481. The reversal of 516050196480 is 84691050615.

516050196480 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 501 + 9 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516050196481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9736796134 + ... + 9736796186.

It is an arithmetic number, because the mean of its divisors is an integer number (1032971940).

Almost surely, 2^516050196480 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 516050196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189983674880).

516050196480 is an abundant number, since it is smaller than the sum of its proper divisors (1863917153280).

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

516050196480 is a wasteful number, since it uses less digits than its factorization.

516050196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 516050196480 in words is "five hundred sixteen billion, fifty million, one hundred ninety-six thousand, four hundred eighty".