495609078988800 has 7200 divisors, whose sum is σ = 2347015525392384. Its totient is φ = 100902371328000.

The previous prime is 495609078988799. The next prime is 495609078988819. The reversal of 495609078988800 is 8889870906594.

495609078988800 is a `hidden beast` number, since 49 + 560 + 9 + 0 + 7 + 8 + 9 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a super-2 number, since 2×495609078988800² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 495609078988800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6789165465564 + ... + 6789165465636.

Almost surely, 2^{495609078988800} is an apocalyptic number.

495609078988800 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 495609078988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173507762696192).

495609078988800 is an abundant number, since it is smaller than the sum of its proper divisors (1851406446403584).

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

495609078988800 is a wasteful number, since it uses less digits than its factorization.

495609078988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 495609078988800 in words is "four hundred ninety-five trillion, six hundred nine billion, seventy-eight million, nine hundred eighty-eight thousand, eight hundred".