516127680 has 448 divisors, whose sum is σ = 1966325760. Its totient is φ = 127180800.

The previous prime is 516127673. The next prime is 516127691. The reversal of 516127680 is 86721615.

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 63 ways as a sum of consecutive naturals, for example, 10981417 + ... + 10981463.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^516127680 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 516127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983162880).

516127680 is an abundant number, since it is smaller than the sum of its proper divisors (1450198080).

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

516127680 is a wasteful number, since it uses less digits than its factorization.

516127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 516127680 is about 22718.4436086630. The cubic root of 516127680 is about 802.1440818410.

The spelling of 516127680 in words is "five hundred sixteen million, one hundred twenty-seven thousand, six hundred eighty".