515363143680000 has 6080 divisors, whose sum is σ = 2547219448857600. Its totient is φ = 99656663040000.

The previous prime is 515363143679987. The next prime is 515363143680013. The reversal of 515363143680000 is 86341363515.

515363143680000 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 631 + 4 + 3 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (515363143679987) and next prime (515363143680013).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 242080 × 8800 × 241920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5790597119956 + ... + 5790597120044.

Almost surely, 2^{515363143680000} is an apocalyptic number.

515363143680000 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 515363143680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273609724428800).

515363143680000 is an abundant number, since it is smaller than the sum of its proper divisors (2031856305177600).

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

515363143680000 is an frugal number, since it uses more digits than its factorization.

515363143680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 515363143680000 in words is "five hundred fifteen trillion, three hundred sixty-three billion, one hundred forty-three million, six hundred eighty thousand".