509141061918720 has 896 divisors, whose sum is σ = 2256834256634880. Its totient is φ = 105795527639040.

The previous prime is 509141061918677. The next prime is 509141061918767. The reversal of 509141061918720 is 27819160141905.

509141061918720 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 4 + 1 + 0 + 619 + 18 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 82166374 + ... + 88145306.

Almost surely, 2^{509141061918720} 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 509141061918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128417128317440).

509141061918720 is an abundant number, since it is smaller than the sum of its proper divisors (1747693194716160).

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

509141061918720 is a wasteful number, since it uses less digits than its factorization.

509141061918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978991 (or 5978961 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 509141061918720 in words is "five hundred nine trillion, one hundred forty-one billion, sixty-one million, nine hundred eighteen thousand, seven hundred twenty".