495120890880 has 1056 divisors, whose sum is σ = 2185150556160. Its totient is φ = 100659363840.

The previous prime is 495120890867. The next prime is 495120890899. The reversal of 495120890880 is 88098021594.

495120890880 is a `hidden beast` number, since 49 + 512 + 0 + 8 + 9 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166762036 + ... + 166765004.

It is an arithmetic number, because the mean of its divisors is an integer number (2069271360).

Almost surely, 2^495120890880 is an apocalyptic number.

495120890880 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 495120890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092575278080).

495120890880 is an abundant number, since it is smaller than the sum of its proper divisors (1690029665280).

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

495120890880 is a wasteful number, since it uses less digits than its factorization.

495120890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 495120890880 in words is "four hundred ninety-five billion, one hundred twenty million, eight hundred ninety thousand, eight hundred eighty".