516079783492 has 192 divisors, whose sum is σ = 1187214336000. Its totient is φ = 190603445760.

The previous prime is 516079783463. The next prime is 516079783501. The reversal of 516079783492 is 294387970615.

It is a self number, because there is not a number n which added to its sum of digits gives 516079783492.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134991493 + ... + 134995315.

It is an arithmetic number, because the mean of its divisors is an integer number (6183408000).

It is a 1-persistent number, because it is pandigital, but 2⋅516079783492 = 1032159566984 is not.

Almost surely, 2^516079783492 is an apocalyptic number.

516079783492 is a gapful number since it is divisible by the number (52) 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 516079783492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593607168000).

516079783492 is an abundant number, since it is smaller than the sum of its proper divisors (671134552508).

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

516079783492 is a wasteful number, since it uses less digits than its factorization.

516079783492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 516079783492 in words is "five hundred sixteen billion, seventy-nine million, seven hundred eighty-three thousand, four hundred ninety-two".