516072755520 has 448 divisors, whose sum is σ = 2088474969600. Its totient is φ = 117517271040.

The previous prime is 516072755503. The next prime is 516072755573. The reversal of 516072755520 is 25557270615.

516072755520 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 72 + 7 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16253260 + ... + 16284980.

Almost surely, 2^516072755520 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 516072755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044237484800).

516072755520 is an abundant number, since it is smaller than the sum of its proper divisors (1572402214080).

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

516072755520 is a wasteful number, since it uses less digits than its factorization.

516072755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32023 (or 32007 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 516072755520 in words is "five hundred sixteen billion, seventy-two million, seven hundred fifty-five thousand, five hundred twenty".