516524265540 has 288 divisors, whose sum is σ = 1659328070400. Its totient is φ = 130056482304.

The previous prime is 516524265473. The next prime is 516524265611. The reversal of 516524265540 is 45562425615.

516524265540 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 2 + 42 + 65 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541997704 + ... + 541998656.

It is an arithmetic number, because the mean of its divisors is an integer number (5761555800).

Almost surely, 2^516524265540 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 516524265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829664035200).

516524265540 is an abundant number, since it is smaller than the sum of its proper divisors (1142803804860).

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

516524265540 is a wasteful number, since it uses less digits than its factorization.

516524265540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 516524265540 in words is "five hundred sixteen billion, five hundred twenty-four million, two hundred sixty-five thousand, five hundred forty".