81364877846280 has 384 divisors, whose sum is σ = 303872994097920. Its totient is φ = 18495556485120.

The previous prime is 81364877846279. The next prime is 81364877846339. The reversal of 81364877846280 is 8264877846318.

81364877846280 is a `hidden beast` number, since 8 + 1 + 3 + 6 + 4 + 87 + 7 + 8 + 462 + 80 = 666.

It is a super-3 number, since 3×81364877846280³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 81364877846199 and 81364877846208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1669649515 + ... + 1669698245.

It is an arithmetic number, because the mean of its divisors is an integer number (791335922130).

Almost surely, 2^{81364877846280} 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 81364877846280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151936497048960).

81364877846280 is an abundant number, since it is smaller than the sum of its proper divisors (222508116251640).

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

81364877846280 is a wasteful number, since it uses less digits than its factorization.

81364877846280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52381 (or 52374 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 81364877846280 in words is "eighty-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, two hundred eighty".