82969676040960 has 1080 divisors, whose sum is σ = 315983912428800. Its totient is φ = 20783340453888.

The previous prime is 82969676040949. The next prime is 82969676040967. The reversal of 82969676040960 is 6904067696928.

82969676040960 is a `hidden beast` number, since 8 + 2 + 9 + 6 + 9 + 6 + 7 + 604 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (82969676040967) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 17288948641 + ... + 17288953439.

Almost surely, 2^{82969676040960} is an apocalyptic number.

82969676040960 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 82969676040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157991956214400).

82969676040960 is an abundant number, since it is smaller than the sum of its proper divisors (233014236387840).

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

82969676040960 is a wasteful number, since it uses less digits than its factorization.

82969676040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 82969676040960 in words is "eighty-two trillion, nine hundred sixty-nine billion, six hundred seventy-six million, forty thousand, nine hundred sixty".