82626663555072 has 2240 divisors, whose sum is σ = 322355233880064. Its totient is φ = 20501527265280.

The previous prime is 82626663555061. The next prime is 82626663555143. The reversal of 82626663555072 is 27055536662628.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69259566508 + ... + 69259567700.

Almost surely, 2^{82626663555072} 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 82626663555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161177616940032).

82626663555072 is an abundant number, since it is smaller than the sum of its proper divisors (239728570324992).

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

82626663555072 is a wasteful number, since it uses less digits than its factorization.

82626663555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 82626663555072 in words is "eighty-two trillion, six hundred twenty-six billion, six hundred sixty-three million, five hundred fifty-five thousand, seventy-two".