82794686188032 has 3840 divisors, whose sum is σ = 335344336588800. Its totient is φ = 19675962408960.

The previous prime is 82794686187953. The next prime is 82794686188037. The reversal of 82794686188032 is 23088168649728.

82794686188032 is a `hidden beast` number, since 8 + 2 + 79 + 468 + 6 + 18 + 80 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82794686188037) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 853553465808 + ... + 853553465904.

It is an arithmetic number, because the mean of its divisors is an integer number (87329254320).

Almost surely, 2^{82794686188032} is an apocalyptic number.

82794686188032 is a gapful number since it is divisible by the number (82) 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 82794686188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167672168294400).

82794686188032 is an abundant number, since it is smaller than the sum of its proper divisors (252549650400768).

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

82794686188032 is a wasteful number, since it uses less digits than its factorization.

82794686188032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 82794686188032 in words is "eighty-two trillion, seven hundred ninety-four billion, six hundred eighty-six million, one hundred eighty-eight thousand, thirty-two".