516281437980 has 384 divisors, whose sum is σ = 2004178176000. Its totient is φ = 107191848960.

The previous prime is 516281437963. The next prime is 516281438011. The reversal of 516281437980 is 89734182615.

516281437980 is a `hidden beast` number, since 5 + 1 + 628 + 1 + 4 + 3 + 7 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59413476 + ... + 59422164.

It is an arithmetic number, because the mean of its divisors is an integer number (5219214000).

It is a 1-persistent number, because it is pandigital, but 2⋅516281437980 = 1032562875960 is not.

Almost surely, 2^516281437980 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 516281437980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002089088000).

516281437980 is an abundant number, since it is smaller than the sum of its proper divisors (1487896738020).

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

516281437980 is a wasteful number, since it uses less digits than its factorization.

516281437980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 516281437980 in words is "five hundred sixteen billion, two hundred eighty-one million, four hundred thirty-seven thousand, nine hundred eighty".