495955886400 has 504 divisors, whose sum is σ = 1903171626720. Its totient is φ = 121770823680.

The previous prime is 495955886399. The next prime is 495955886417. The reversal of 495955886400 is 4688559594.

495955886400 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 5 + 588 + 6 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78433639 + ... + 78439961.

It is an arithmetic number, because the mean of its divisors is an integer number (3776134180).

Almost surely, 2^495955886400 is an apocalyptic number.

495955886400 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 495955886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951585813360).

495955886400 is an abundant number, since it is smaller than the sum of its proper divisors (1407215740320).

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

495955886400 is a wasteful number, since it uses less digits than its factorization.

495955886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 495955886400 in words is "four hundred ninety-five billion, nine hundred fifty-five million, eight hundred eighty-six thousand, four hundred".