82255590970784 has 576 divisors, whose sum is σ = 230166324686592. Its totient is φ = 28455675494400.

The previous prime is 82255590970759. The next prime is 82255590970789. The reversal of 82255590970784 is 48707909555228.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82255590970789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492226124 + ... + 492393204.

It is an arithmetic number, because the mean of its divisors is an integer number (399594313692).

Almost surely, 2^{82255590970784} 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 82255590970784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115083162343296).

82255590970784 is an abundant number, since it is smaller than the sum of its proper divisors (147910733715808).

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

82255590970784 is a wasteful number, since it uses less digits than its factorization.

82255590970784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167229 (or 167214 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 71.

The spelling of 82255590970784 in words is "eighty-two trillion, two hundred fifty-five billion, five hundred ninety million, nine hundred seventy thousand, seven hundred eighty-four".