82694550960 has 480 divisors, whose sum is σ = 338944020480. Its totient is φ = 17660160000.

The previous prime is 82694550923. The next prime is 82694550973. The reversal of 82694550960 is 6905549628.

It is a happy number.

82694550960 is a `hidden beast` number, since 8 + 26 + 9 + 4 + 550 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82694550897 and 82694550906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4521835 + ... + 4540085.

It is an arithmetic number, because the mean of its divisors is an integer number (706133376).

Almost surely, 2^82694550960 is an apocalyptic number.

82694550960 is a gapful number since it is divisible by the number (80) 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 82694550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169472010240).

82694550960 is an abundant number, since it is smaller than the sum of its proper divisors (256249469520).

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

82694550960 is a wasteful number, since it uses less digits than its factorization.

82694550960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18337 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 82694550960 in words is "eighty-two billion, six hundred ninety-four million, five hundred fifty thousand, nine hundred sixty".