480695560920900 has 432 divisors, whose sum is σ = 1636594315259904. Its totient is φ = 117306995420160.

The previous prime is 480695560920889. The next prime is 480695560920923. The reversal of 480695560920900 is 9029065596084.

480695560920900 is a `hidden beast` number, since 4 + 8 + 0 + 69 + 5 + 560 + 9 + 2 + 0 + 9 + 0 + 0 = 666.

It is a super-3 number, since 3×480695560920900³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2031106974 + ... + 2031343626.

Almost surely, 2^{480695560920900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480695560920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818297157629952).

480695560920900 is an abundant number, since it is smaller than the sum of its proper divisors (1155898754339004).

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

480695560920900 is a wasteful number, since it uses less digits than its factorization.

480695560920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238180 (or 238170 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 480695560920900 in words is "four hundred eighty trillion, six hundred ninety-five billion, five hundred sixty million, nine hundred twenty thousand, nine hundred".