516307911840 has 1152 divisors, whose sum is σ = 2191911321600. Its totient is φ = 110366226432.

The previous prime is 516307911787. The next prime is 516307911901. The reversal of 516307911840 is 48119703615.

516307911840 is a `hidden beast` number, since 5 + 1 + 630 + 7 + 9 + 1 + 1 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 533927037 + ... + 533928003.

It is an arithmetic number, because the mean of its divisors is an integer number (1902700800).

Almost surely, 2^516307911840 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 516307911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095955660800).

516307911840 is an abundant number, since it is smaller than the sum of its proper divisors (1675603409760).

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

516307911840 is a wasteful number, since it uses less digits than its factorization.

516307911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 516307911840 in words is "five hundred sixteen billion, three hundred seven million, nine hundred eleven thousand, eight hundred forty".