516119040 has 400 divisors, whose sum is σ = 1960722720. Its totient is φ = 129392640.

The previous prime is 516119039. The next prime is 516119047. The reversal of 516119040 is 40911615.

516119040 is a `hidden beast` number, since 5 + 1 + 611 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 516118995 and 516119013.

It is not an unprimeable number, because it can be changed into a prime (516119047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939775 + ... + 3939905.

Almost surely, 2^516119040 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 516119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980361360).

516119040 is an abundant number, since it is smaller than the sum of its proper divisors (1444603680).

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

516119040 is a wasteful number, since it uses less digits than its factorization.

516119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 516119040 is about 22718.2534539960. The cubic root of 516119040 is about 802.1396058404.

The spelling of 516119040 in words is "five hundred sixteen million, one hundred nineteen thousand, forty".