480958553088 has 704 divisors, whose sum is σ = 1592596131840. Its totient is φ = 142442496000.

The previous prime is 480958553087. The next prime is 480958553099. The reversal of 480958553088 is 880355859084.

480958553088 is a `hidden beast` number, since 4 + 8 + 0 + 95 + 8 + 5 + 530 + 8 + 8 = 666.

It is a super-3 number, since 3×480958553088³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480958553087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199397688 + ... + 1199398088.

Almost surely, 2^480958553088 is an apocalyptic number.

480958553088 is a gapful number since it is divisible by the number (48) 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 480958553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796298065920).

480958553088 is an abundant number, since it is smaller than the sum of its proper divisors (1111637578752).

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

480958553088 is a wasteful number, since it uses less digits than its factorization.

480958553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 480958553088 in words is "four hundred eighty billion, nine hundred fifty-eight million, five hundred fifty-three thousand, eighty-eight".