82557776033360 has 20 divisors (see below), whose sum is σ = 191946829277748. Its totient is φ = 33023110413312.

The previous prime is 82557776033329. The next prime is 82557776033363. The reversal of 82557776033360 is 6333067775528.

It can be written as a sum of positive squares in 2 ways, for example, as 9603082045456 + 72954693987904 = 3098884^2 + 8541352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 82557776033293 and 82557776033302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82557776033363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515986100129 + ... + 515986100288.

Almost surely, 2^{82557776033360} is an apocalyptic number.

82557776033360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82557776033360 is an abundant number, since it is smaller than the sum of its proper divisors (109389053244388).

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

82557776033360 is a wasteful number, since it uses less digits than its factorization.

82557776033360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031972200430 (or 1031972200424 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 62.

The spelling of 82557776033360 in words is "eighty-two trillion, five hundred fifty-seven billion, seven hundred seventy-six million, thirty-three thousand, three hundred sixty".