82862668949760 has 720 divisors, whose sum is σ = 349785497521152. Its totient is φ = 18329064652800.

The previous prime is 82862668949747. The next prime is 82862668949771. The reversal of 82862668949760 is 6794986626828.

82862668949760 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 2 + 6 + 68 + 9 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 82862668949760.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20657050 + ... + 24340070.

Almost surely, 2^{82862668949760} is an apocalyptic number.

82862668949760 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 82862668949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174892748760576).

82862668949760 is an abundant number, since it is smaller than the sum of its proper divisors (266922828571392).

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

82862668949760 is a wasteful number, since it uses less digits than its factorization.

82862668949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683092 (or 3683069 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 82862668949760 in words is "eighty-two trillion, eight hundred sixty-two billion, six hundred sixty-eight million, nine hundred forty-nine thousand, seven hundred sixty".