495994075920 has 960 divisors, whose sum is σ = 2031349985280. Its totient is φ = 110891289600.

The previous prime is 495994075909. The next prime is 495994075949. The reversal of 495994075920 is 29570499594.

495994075920 is a `hidden beast` number, since 4 + 95 + 99 + 407 + 59 + 2 + 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 191 ways as a sum of consecutive naturals, for example, 1150798105 + ... + 1150798535.

It is an arithmetic number, because the mean of its divisors is an integer number (2115989568).

Almost surely, 2^495994075920 is an apocalyptic number.

495994075920 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 495994075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015674992640).

495994075920 is an abundant number, since it is smaller than the sum of its proper divisors (1535355909360).

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

495994075920 is a wasteful number, since it uses less digits than its factorization.

495994075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 495994075920 in words is "four hundred ninety-five billion, nine hundred ninety-four million, seventy-five thousand, nine hundred twenty".