516991279104 has 336 divisors, whose sum is σ = 1639962153648. Its totient is φ = 162182725632.

The previous prime is 516991279093. The next prime is 516991279109. The reversal of 516991279104 is 401972199615.

It is a happy number.

516991279104 is a `hidden beast` number, since 516 + 9 + 9 + 12 + 7 + 9 + 104 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516991279109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33833514 + ... + 33848790.

It is an arithmetic number, because the mean of its divisors is an integer number (4880839743).

Almost surely, 2^516991279104 is an apocalyptic number.

516991279104 is a gapful number since it is divisible by the number (54) 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 516991279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819981076824).

516991279104 is an abundant number, since it is smaller than the sum of its proper divisors (1122970874544).

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

516991279104 is an equidigital number, since it uses as much as digits as its factorization.

516991279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 516991279104 in words is "five hundred sixteen billion, nine hundred ninety-one million, two hundred seventy-nine thousand, one hundred four".