82158881904 has 200 divisors, whose sum is σ = 261558430320. Its totient is φ = 24896108160.

The previous prime is 82158881887. The next prime is 82158881963. The reversal of 82158881904 is 40918885128.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1701162 + ... + 1748790.

Almost surely, 2^82158881904 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 82158881904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130779215160).

82158881904 is an abundant number, since it is smaller than the sum of its proper divisors (179399548416).

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

82158881904 is a wasteful number, since it uses less digits than its factorization.

82158881904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47682 (or 47645 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 82158881904 in words is "eighty-two billion, one hundred fifty-eight million, eight hundred eighty-one thousand, nine hundred four".