480853626128372 has 96 divisors (see below), whose sum is σ = 1053491941797120. Its totient is φ = 187251676416000.

The previous prime is 480853626128341. The next prime is 480853626128399. The reversal of 480853626128372 is 273821626358084.

It is a super-3 number, since 3×480853626128372³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480853626128299 and 480853626128308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143297183 + ... + 146614425.

It is an arithmetic number, because the mean of its divisors is an integer number (10973874393720).

Almost surely, 2^{480853626128372} 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 480853626128372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526745970898560).

480853626128372 is an abundant number, since it is smaller than the sum of its proper divisors (572638315668748).

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

480853626128372 is a wasteful number, since it uses less digits than its factorization.

480853626128372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327801 (or 3327799 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 65.

The spelling of 480853626128372 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred twenty-six million, one hundred twenty-eight thousand, three hundred seventy-two".