509253956160768 has 3240 divisors, whose sum is σ = 2053627109968896. Its totient is φ = 124272175104000.

The previous prime is 509253956160679. The next prime is 509253956160839. The reversal of 509253956160768 is 867061659352905.

509253956160768 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 5 + 3 + 9 + 5 + 6 + 1 + 607 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 509253956160696 and 509253956160705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 216611634793 + ... + 216611637143.

Almost surely, 2^{509253956160768} 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 509253956160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026813554984448).

509253956160768 is an abundant number, since it is smaller than the sum of its proper divisors (1544373153808128).

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

509253956160768 is a wasteful number, since it uses less digits than its factorization.

509253956160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 509253956160768 in words is "five hundred nine trillion, two hundred fifty-three billion, nine hundred fifty-six million, one hundred sixty thousand, seven hundred sixty-eight".