495056110348800 has 11520 divisors, whose sum is σ = 2666585727590400. Its totient is φ = 87238508544000.

The previous prime is 495056110348763. The next prime is 495056110348831. The reversal of 495056110348800 is 8843011650594.

It is a happy number.

495056110348800 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 56 + 1 + 103 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a super-3 number, since 3×495056110348800³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2964407846317 + ... + 2964407846483.

It is an arithmetic number, because the mean of its divisors is an integer number (231474455520).

Almost surely, 2^{495056110348800} is an apocalyptic number.

495056110348800 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 495056110348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333292863795200).

495056110348800 is an abundant number, since it is smaller than the sum of its proper divisors (2171529617241600).

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

495056110348800 is a wasteful number, since it uses less digits than its factorization.

495056110348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 495056110348800 in words is "four hundred ninety-five trillion, fifty-six billion, one hundred ten million, three hundred forty-eight thousand, eight hundred".