516120000 has 560 divisors, whose sum is σ = 2056741632. Its totient is φ = 112640000.

The previous prime is 516119987. The next prime is 516120041. The reversal of 516120000 is 21615.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22439989 + ... + 22440011.

Almost surely, 2^516120000 is an apocalyptic number.

516120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028370816).

516120000 is an abundant number, since it is smaller than the sum of its proper divisors (1540621632).

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

516120000 is a wasteful number, since it uses less digits than its factorization.

516120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 516120000 is about 22718.2745823709. The cubic root of 516120000 is about 802.1401031762.

Adding to 516120000 its reverse (21615), we get a palindrome (516141615).

The spelling of 516120000 in words is "five hundred sixteen million, one hundred twenty thousand".