82069531361280 has 1408 divisors, whose sum is σ = 313450103970000. Its totient is φ = 20556564922368.

The previous prime is 82069531361231. The next prime is 82069531361393. The reversal of 82069531361280 is 8216313596028.

82069531361280 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 9 + 5 + 3 + 13 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 164467998471 + ... + 164467998969.

Almost surely, 2^{82069531361280} is an apocalyptic number.

82069531361280 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 82069531361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156725051985000).

82069531361280 is an abundant number, since it is smaller than the sum of its proper divisors (231380572608720).

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

82069531361280 is an frugal number, since it uses more digits than its factorization.

82069531361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 82069531361280 in words is "eighty-two trillion, sixty-nine billion, five hundred thirty-one million, three hundred sixty-one thousand, two hundred eighty".