495150796800 has 1404 divisors, whose sum is σ = 2039050633776. Its totient is φ = 118244966400.

The previous prime is 495150796781. The next prime is 495150796801. The reversal of 495150796800 is 8697051594.

495150796800 is a `hidden beast` number, since 4 + 9 + 51 + 507 + 9 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (495150796801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7390310367 + ... + 7390310433.

Almost surely, 2^495150796800 is an apocalyptic number.

495150796800 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 495150796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019525316888).

495150796800 is an abundant number, since it is smaller than the sum of its proper divisors (1543899836976).

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

495150796800 is an frugal number, since it uses more digits than its factorization.

495150796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 495150796800 in words is "four hundred ninety-five billion, one hundred fifty million, seven hundred ninety-six thousand, eight hundred".