495873100800 has 1980 divisors, whose sum is σ = 2330102965800. Its totient is φ = 103038566400.

The previous prime is 495873100763. The next prime is 495873100841. The reversal of 495873100800 is 8001378594.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

495873100800 is a `hidden beast` number, since 495 + 8 + 73 + 10 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 45079372795 + ... + 45079372805.

Almost surely, 2^495873100800 is an apocalyptic number.

495873100800 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 495873100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165051482900).

495873100800 is an abundant number, since it is smaller than the sum of its proper divisors (1834229865000).

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

495873100800 is an equidigital number, since it uses as much as digits as its factorization.

495873100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 495873100800 in words is "four hundred ninety-five billion, eight hundred seventy-three million, one hundred thousand, eight hundred".