516780477990 has 192 divisors, whose sum is σ = 1563440860800. Its totient is φ = 115992041472.

The previous prime is 516780477979. The next prime is 516780477991. The reversal of 516780477990 is 99774087615.

516780477990 is a `hidden beast` number, since 5 + 1 + 6 + 78 + 0 + 477 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516780477991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10507176 + ... + 10556244.

It is an arithmetic number, because the mean of its divisors is an integer number (8142921150).

Almost surely, 2^516780477990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516780477990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781720430400).

516780477990 is an abundant number, since it is smaller than the sum of its proper divisors (1046660382810).

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

516780477990 is a wasteful number, since it uses less digits than its factorization.

516780477990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49391 (or 49388 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 516780477990 in words is "five hundred sixteen billion, seven hundred eighty million, four hundred seventy-seven thousand, nine hundred ninety".