495788121600 has 240 divisors, whose sum is σ = 1641371516928. Its totient is φ = 131922288640.

The previous prime is 495788121571. The next prime is 495788121671. The reversal of 495788121600 is 6121887594.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 17918977 + ... + 17946623.

Almost surely, 2^495788121600 is an apocalyptic number.

495788121600 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 495788121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820685758464).

495788121600 is an abundant number, since it is smaller than the sum of its proper divisors (1145583395328).

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

495788121600 is a wasteful number, since it uses less digits than its factorization.

495788121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145 (or 28124 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 495788121600 in words is "four hundred ninety-five billion, seven hundred eighty-eight million, one hundred twenty-one thousand, six hundred".