495219648000 has 2560 divisors, whose sum is σ = 2264975032320. Its totient is φ = 92897280000.

The previous prime is 495219647927. The next prime is 495219648013. The reversal of 495219648000 is 846912594.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11516735979 + ... + 11516736021.

It is an arithmetic number, because the mean of its divisors is an integer number (884755872).

Almost surely, 2^495219648000 is an apocalyptic number.

495219648000 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 495219648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132487516160).

495219648000 is an abundant number, since it is smaller than the sum of its proper divisors (1769755384320).

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

495219648000 is a wasteful number, since it uses less digits than its factorization.

495219648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 495219648000 in words is "four hundred ninety-five billion, two hundred nineteen million, six hundred forty-eight thousand".