82556506531408 has 160 divisors (see below), whose sum is σ = 197565997466880. Its totient is φ = 32543678914560.

The previous prime is 82556506531403. The next prime is 82556506531409. The reversal of 82556506531408 is 80413560565528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82556506531403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561195528 + ... + 561342616.

It is an arithmetic number, because the mean of its divisors is an integer number (1234787484168).

Almost surely, 2^{82556506531408} 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 82556506531408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98782998733440).

82556506531408 is an abundant number, since it is smaller than the sum of its proper divisors (115009490935472).

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

82556506531408 is a wasteful number, since it uses less digits than its factorization.

82556506531408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148485 (or 148479 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 58.

The spelling of 82556506531408 in words is "eighty-two trillion, five hundred fifty-six billion, five hundred six million, five hundred thirty-one thousand, four hundred eight".