513202143168000 has 6720 divisors, whose sum is σ = 2327397132924864. Its totient is φ = 111795240960000.

The previous prime is 513202143167941. The next prime is 513202143168023. The reversal of 513202143168000 is 861341202315.

513202143168000 is a `hidden beast` number, since 5 + 1 + 320 + 2 + 14 + 316 + 8 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 5290743743952 + ... + 5290743744048.

Almost surely, 2^{513202143168000} is an apocalyptic number.

513202143168000 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 513202143168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163698566462432).

513202143168000 is an abundant number, since it is smaller than the sum of its proper divisors (1814194989756864).

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

513202143168000 is an equidigital number, since it uses as much as digits as its factorization.

513202143168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 513202143168000 in words is "five hundred thirteen trillion, two hundred two billion, one hundred forty-three million, one hundred sixty-eight thousand".