82107201792 has 576 divisors, whose sum is σ = 281008465920. Its totient is φ = 20668416000.

The previous prime is 82107201791. The next prime is 82107201793. The reversal of 82107201792 is 29710270128.

It is an interprime number because it is at equal distance from previous prime (82107201791) and next prime (82107201793).

It is a super-2 number, since 2×82107201792² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82107201792.

It is not an unprimeable number, because it can be changed into a prime (82107201791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352391308 + ... + 352391540.

It is an arithmetic number, because the mean of its divisors is an integer number (487861920).

Almost surely, 2^82107201792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82107201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140504232960).

82107201792 is an abundant number, since it is smaller than the sum of its proper divisors (198901264128).

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

82107201792 is a wasteful number, since it uses less digits than its factorization.

82107201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 82107201792 in words is "eighty-two billion, one hundred seven million, two hundred one thousand, seven hundred ninety-two".