82541162880 has 768 divisors, whose sum is σ = 322922583360. Its totient is φ = 19251855360.

The previous prime is 82541162863. The next prime is 82541162909. The reversal of 82541162880 is 8826114528.

82541162880 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 11 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321171712 + ... + 321171968.

Almost surely, 2^82541162880 is an apocalyptic number.

82541162880 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 82541162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161461291680).

82541162880 is an abundant number, since it is smaller than the sum of its proper divisors (240381420480).

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

82541162880 is a wasteful number, since it uses less digits than its factorization.

82541162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 82541162880 in words is "eighty-two billion, five hundred forty-one million, one hundred sixty-two thousand, eight hundred eighty".