82668129057360 has 3840 divisors, whose sum is σ = 381191602176000. Its totient is φ = 16429754880000.

The previous prime is 82668129057301. The next prime is 82668129057373. The reversal of 82668129057360 is 6375092186628.

It is a happy number.

82668129057360 is a `hidden beast` number, since 8 + 2 + 66 + 81 + 2 + 90 + 57 + 360 = 666.

It is a super-3 number, since 3×82668129057360³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 419635172782 + ... + 419635172978.

It is an arithmetic number, because the mean of its divisors is an integer number (99268646400).

Almost surely, 2^{82668129057360} is an apocalyptic number.

82668129057360 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 82668129057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190595801088000).

82668129057360 is an abundant number, since it is smaller than the sum of its proper divisors (298523473118640).

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

82668129057360 is a wasteful number, since it uses less digits than its factorization.

82668129057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 82668129057360 in words is "eighty-two trillion, six hundred sixty-eight billion, one hundred twenty-nine million, fifty-seven thousand, three hundred sixty".