82699955776 has 63 divisors (see below), whose sum is σ = 166192665201. Its totient is φ = 40831190784.

The previous prime is 82699955771. The next prime is 82699955797. The reversal of 82699955776 is 67755999628.

The square root of 82699955776 is 287576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60701133376 + 21998822400 = 246376^2 + 148320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82699955699 and 82699955708.

It is not an unprimeable number, because it can be changed into a prime (82699955771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236962450 + ... + 236962798.

Almost surely, 2^82699955776 is an apocalyptic number.

82699955776 is the 287576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82699955776

82699955776 is an abundant number, since it is smaller than the sum of its proper divisors (83492709425).

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

82699955776 is an frugal number, since it uses more digits than its factorization.

82699955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 454 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 73.

The spelling of 82699955776 in words is "eighty-two billion, six hundred ninety-nine million, nine hundred fifty-five thousand, seven hundred seventy-six".