495396864000 has 1440 divisors, whose sum is σ = 2008674769920. Its totient is φ = 120324096000.

The previous prime is 495396863989. The next prime is 495396864041. The reversal of 495396864000 is 468693594.

495396864000 is a `hidden beast` number, since 4 + 9 + 539 + 68 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×495396864000² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15980543985 + ... + 15980544015.

Almost surely, 2^495396864000 is an apocalyptic number.

495396864000 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 495396864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004337384960).

495396864000 is an abundant number, since it is smaller than the sum of its proper divisors (1513277905920).

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

495396864000 is an equidigital number, since it uses as much as digits as its factorization.

495396864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 495396864000 in words is "four hundred ninety-five billion, three hundred ninety-six million, eight hundred sixty-four thousand".