516953619072 has 768 divisors, whose sum is σ = 1784447078400. Its totient is φ = 146080972800.

The previous prime is 516953619059. The next prime is 516953619113. The reversal of 516953619072 is 270916359615.

516953619072 is a `hidden beast` number, since 5 + 16 + 9 + 5 + 3 + 619 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2318177553 + ... + 2318177775.

It is an arithmetic number, because the mean of its divisors is an integer number (2323498800).

Almost surely, 2^516953619072 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 516953619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892223539200).

516953619072 is an abundant number, since it is smaller than the sum of its proper divisors (1267493459328).

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

516953619072 is a wasteful number, since it uses less digits than its factorization.

516953619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 516953619072 in words is "five hundred sixteen billion, nine hundred fifty-three million, six hundred nineteen thousand, seventy-two".