82625944952628 has 1152 divisors, whose sum is σ = 277359954493440. Its totient is φ = 20120400000000.

The previous prime is 82625944952611. The next prime is 82625944952641.

82625944952628 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 5 + 94 + 4 + 9 + 526 + 2 + 8 = 666.

82625944952628 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 110021231253 + ... + 110021232003.

Almost surely, 2^{82625944952628} 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 82625944952628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138679977246720).

82625944952628 is an abundant number, since it is smaller than the sum of its proper divisors (194734009540812).

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

82625944952628 is a wasteful number, since it uses less digits than its factorization.

82625944952628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 82625944952628 in words is "eighty-two trillion, six hundred twenty-five billion, nine hundred forty-four million, nine hundred fifty-two thousand, six hundred twenty-eight".