516090088332 has 768 divisors, whose sum is σ = 1774348800000. Its totient is φ = 127523165184.

The previous prime is 516090088309. The next prime is 516090088333. The reversal of 516090088332 is 233880090615.

It is a happy number.

516090088332 is a `hidden beast` number, since 5 + 1 + 609 + 0 + 0 + 8 + 8 + 3 + 32 = 666.

516090088332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (516090088333) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2253668394 + ... + 2253668622.

It is an arithmetic number, because the mean of its divisors is an integer number (2310350000).

Almost surely, 2^516090088332 is an apocalyptic number.

516090088332 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 516090088332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887174400000).

516090088332 is an abundant number, since it is smaller than the sum of its proper divisors (1258258711668).

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

516090088332 is a wasteful number, since it uses less digits than its factorization.

516090088332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 516090088332 in words is "five hundred sixteen billion, ninety million, eighty-eight thousand, three hundred thirty-two".