519990490890000 has 1125 divisors, whose sum is σ = 2037491250799323. Its totient is φ = 127931985792000.

The previous prime is 519990490889971. The next prime is 519990490890043. The reversal of 519990490890000 is 98094099915.

The square root of 519990490890000 is 22803300.

It is a perfect power (a square), and thus also a powerful number.

519990490890000 is a `hidden beast` number, since 51 + 9 + 9 + 9 + 0 + 490 + 8 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 460185386532624 + 59805104357376 = 21451932^2 + 7733376^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×519990490890000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 519990490890000.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 266798609026 + ... + 266798610974.

Almost surely, 2^{519990490890000} is an apocalyptic number.

519990490890000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

519990490890000 is the 22803300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 519990490890000

519990490890000 is an abundant number, since it is smaller than the sum of its proper divisors (1517500759909323).

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

519990490890000 is an frugal number, since it uses more digits than its factorization.

519990490890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 519990490890000 in words is "five hundred nineteen trillion, nine hundred ninety billion, four hundred ninety million, eight hundred ninety thousand".