882181626480 has 1920 divisors, whose sum is σ = 4032564756480. Its totient is φ = 167344496640.

The previous prime is 882181626479. The next prime is 882181626481. The reversal of 882181626480 is 84626181288.

882181626480 is a `hidden beast` number, since 8 + 8 + 2 + 1 + 8 + 1 + 626 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (882181626479) and next prime (882181626481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882181626481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5099315674 + ... + 5099315846.

It is an arithmetic number, because the mean of its divisors is an integer number (2100294144).

Almost surely, 2^882181626480 is an apocalyptic number.

882181626480 is a gapful number since it is divisible by the number (80) 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 882181626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016282378240).

882181626480 is an abundant number, since it is smaller than the sum of its proper divisors (3150383130000).

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

882181626480 is a wasteful number, since it uses less digits than its factorization.

882181626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 882181626480 in words is "eight hundred eighty-two billion, one hundred eighty-one million, six hundred twenty-six thousand, four hundred eighty".