495953282160 has 640 divisors, whose sum is σ = 2071410278400. Its totient is φ = 106473553920.

The previous prime is 495953282129. The next prime is 495953282173. The reversal of 495953282160 is 61282359594.

495953282160 is a `hidden beast` number, since 4 + 9 + 595 + 3 + 28 + 21 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 495953282097 and 495953282106.

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 127 ways as a sum of consecutive naturals, for example, 146254065 + ... + 146257455.

It is an arithmetic number, because the mean of its divisors is an integer number (3236578560).

Almost surely, 2^495953282160 is an apocalyptic number.

495953282160 is a gapful number since it is divisible by the number (40) 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 495953282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035705139200).

495953282160 is an abundant number, since it is smaller than the sum of its proper divisors (1575456996240).

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

495953282160 is a wasteful number, since it uses less digits than its factorization.

495953282160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 495953282160 in words is "four hundred ninety-five billion, nine hundred fifty-three million, two hundred eighty-two thousand, one hundred sixty".