81882009739152 has 800 divisors, whose sum is σ = 280162097049600. Its totient is φ = 22887630065664.

The previous prime is 81882009739147. The next prime is 81882009739163. The reversal of 81882009739152 is 25193790028818.

81882009739152 is a `hidden beast` number, since 81 + 8 + 82 + 0 + 0 + 97 + 391 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81882009739152.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21054770424 + ... + 21054774312.

It is an arithmetic number, because the mean of its divisors is an integer number (350202621312).

Almost surely, 2^{81882009739152} 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 81882009739152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140081048524800).

81882009739152 is an abundant number, since it is smaller than the sum of its proper divisors (198280087310448).

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

81882009739152 is a wasteful number, since it uses less digits than its factorization.

81882009739152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 81882009739152 in words is "eighty-one trillion, eight hundred eighty-two billion, nine million, seven hundred thirty-nine thousand, one hundred fifty-two".