516011950080 has 768 divisors, whose sum is σ = 2020564634400. Its totient is φ = 120670126080.

The previous prime is 516011950073. The next prime is 516011950093. The reversal of 516011950080 is 80059110615.

516011950080 is a `hidden beast` number, since 5 + 1 + 60 + 1 + 19 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470384092 + ... + 470385188.

Almost surely, 2^516011950080 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 516011950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010282317200).

516011950080 is an abundant number, since it is smaller than the sum of its proper divisors (1504552684320).

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

516011950080 is a wasteful number, since it uses less digits than its factorization.

516011950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 516011950080 in words is "five hundred sixteen billion, eleven million, nine hundred fifty thousand, eighty".