82541199260160 has 560 divisors, whose sum is σ = 309623530575744. Its totient is φ = 21053976109056.

The previous prime is 82541199260153. The next prime is 82541199260207. The reversal of 82541199260160 is 6106299114528.

82541199260160 is a `hidden beast` number, since 8 + 2 + 5 + 411 + 9 + 9 + 2 + 60 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82541199260097 and 82541199260106.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41962029 + ... + 43885011.

Almost surely, 2^{82541199260160} is an apocalyptic number.

82541199260160 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 82541199260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811765287872).

82541199260160 is an abundant number, since it is smaller than the sum of its proper divisors (227082331315584).

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

82541199260160 is an equidigital number, since it uses as much as digits as its factorization.

82541199260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923047 (or 1923016 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 82541199260160 in words is "eighty-two trillion, five hundred forty-one billion, one hundred ninety-nine million, two hundred sixty thousand, one hundred sixty".