495305512800 has 1152 divisors, whose sum is σ = 2076977064960. Its totient is φ = 99798220800.

The previous prime is 495305512799. The next prime is 495305512811. The reversal of 495305512800 is 8215503594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 526360330 + ... + 526361270.

It is an arithmetic number, because the mean of its divisors is an integer number (1802931480).

Almost surely, 2^495305512800 is an apocalyptic number.

495305512800 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 495305512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038488532480).

495305512800 is an abundant number, since it is smaller than the sum of its proper divisors (1581671552160).

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

495305512800 is a wasteful number, since it uses less digits than its factorization.

495305512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 495305512800 in words is "four hundred ninety-five billion, three hundred five million, five hundred twelve thousand, eight hundred".