495820355587200 has 3072 divisors, whose sum is σ = 2214686251008000. Its totient is φ = 105813717811200.

The previous prime is 495820355587087. The next prime is 495820355587253. The reversal of 495820355587200 is 2785553028594.

It is a happy number.

495820355587200 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 2 + 0 + 3 + 5 + 558 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 313215637609 + ... + 313215639191.

It is an arithmetic number, because the mean of its divisors is an integer number (720926514000).

Almost surely, 2^{495820355587200} is an apocalyptic number.

495820355587200 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 495820355587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107343125504000).

495820355587200 is an abundant number, since it is smaller than the sum of its proper divisors (1718865895420800).

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

495820355587200 is a wasteful number, since it uses less digits than its factorization.

495820355587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 495820355587200 in words is "four hundred ninety-five trillion, eight hundred twenty billion, three hundred fifty-five million, five hundred eighty-seven thousand, two hundred".