82135064569600 has 432 divisors, whose sum is σ = 236195654510592. Its totient is φ = 27696270458880.

The previous prime is 82135064569583. The next prime is 82135064569609. The reversal of 82135064569600 is 696546053128.

It is a super-2 number, since 2×82135064569600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82135064569609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829153674 + ... + 829252726.

It is an arithmetic number, because the mean of its divisors is an integer number (546749200256).

Almost surely, 2^{82135064569600} is an apocalyptic number.

82135064569600 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 82135064569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118097827255296).

82135064569600 is an abundant number, since it is smaller than the sum of its proper divisors (154060589940992).

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

82135064569600 is a wasteful number, since it uses less digits than its factorization.

82135064569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99392 (or 99373 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 82135064569600 in words is "eighty-two trillion, one hundred thirty-five billion, sixty-four million, five hundred sixty-nine thousand, six hundred".