82946055366960 has 80 divisors (see below), whose sum is σ = 257133649369344. Its totient is φ = 22118872594176.

The previous prime is 82946055366949. The next prime is 82946055366971. The reversal of 82946055366960 is 6966355064928.

It is an interprime number because it is at equal distance from previous prime (82946055366949) and next prime (82946055366971).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129636789 + ... + 130275051.

Almost surely, 2^{82946055366960} is an apocalyptic number.

82946055366960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82946055366960 is an abundant number, since it is smaller than the sum of its proper divisors (174187594002384).

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

82946055366960 is a wasteful number, since it uses less digits than its factorization.

82946055366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179762 (or 1179756 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 69.

The spelling of 82946055366960 in words is "eighty-two trillion, nine hundred forty-six billion, fifty-five million, three hundred sixty-six thousand, nine hundred sixty".