82716990048 has 864 divisors, whose sum is σ = 323051339520. Its totient is φ = 20323353600.

The previous prime is 82716990043. The next prime is 82716990107. The reversal of 82716990048 is 84009961728.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 82716989976 and 82716990003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82716990043) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 125138838 + ... + 125139498.

Almost surely, 2^82716990048 is an apocalyptic number.

82716990048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82716990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161525669760).

82716990048 is an abundant number, since it is smaller than the sum of its proper divisors (240334349472).

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

82716990048 is a wasteful number, since it uses less digits than its factorization.

82716990048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 82716990048 in words is "eighty-two billion, seven hundred sixteen million, nine hundred ninety thousand, forty-eight".