82804837954590 has 64 divisors (see below), whose sum is σ = 220814315438400. Its totient is φ = 22081148698752.

The previous prime is 82804837954549. The next prime is 82804837954633. The reversal of 82804837954590 is 9545973840828.

82804837954590 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 4 + 8 + 3 + 79 + 545 + 9 + 0 = 666.

82804837954590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82804837954590² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45281244 + ... + 47074416.

It is an arithmetic number, because the mean of its divisors is an integer number (3450223678725).

Almost surely, 2^{82804837954590} is an apocalyptic number.

82804837954590 is an abundant number, since it is smaller than the sum of its proper divisors (138009477483810).

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

82804837954590 is a wasteful number, since it uses less digits than its factorization.

82804837954590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964218 (or 1964212 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 82804837954590 in words is "eighty-two trillion, eight hundred four billion, eight hundred thirty-seven million, nine hundred fifty-four thousand, five hundred ninety".