82553635528 has 192 divisors, whose sum is σ = 197792280000. Its totient is φ = 32011660800.

The previous prime is 82553635511. The next prime is 82553635529.

82553635528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (82553635529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55071723 + ... + 55073221.

It is an arithmetic number, because the mean of its divisors is an integer number (1030168125).

Almost surely, 2^82553635528 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 82553635528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896140000).

82553635528 is an abundant number, since it is smaller than the sum of its proper divisors (115238644472).

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

82553635528 is a wasteful number, since it uses less digits than its factorization.

82553635528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 52.

The spelling of 82553635528 in words is "eighty-two billion, five hundred fifty-three million, six hundred thirty-five thousand, five hundred twenty-eight".