82611455411628 has 192 divisors, whose sum is σ = 251667019968000. Its totient is φ = 23103921496320.

The previous prime is 82611455411599. The next prime is 82611455411773.

82611455411628 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 1 + 4 + 5 + 5 + 4 + 1 + 1 + 628 = 666.

82611455411628 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82611455411628² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85434198 + ... + 86395746.

It is an arithmetic number, because the mean of its divisors is an integer number (1310765729000).

Almost surely, 2^{82611455411628} 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 82611455411628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125833509984000).

82611455411628 is an abundant number, since it is smaller than the sum of its proper divisors (169055564556372).

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

82611455411628 is a wasteful number, since it uses less digits than its factorization.

82611455411628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967149 (or 967141 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 82611455411628 in words is "eighty-two trillion, six hundred eleven billion, four hundred fifty-five million, four hundred eleven thousand, six hundred twenty-eight".