81734888880 has 240 divisors, whose sum is σ = 291117063744. Its totient is φ = 20480163840.

The previous prime is 81734888843. The next prime is 81734888891. The reversal of 81734888880 is 8888843718.

81734888880 is a `hidden beast` number, since 8 + 1 + 73 + 488 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7914120 + ... + 7924440.

Almost surely, 2^81734888880 is an apocalyptic number.

81734888880 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 81734888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145558531872).

81734888880 is an abundant number, since it is smaller than the sum of its proper divisors (209382174864).

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

81734888880 is a wasteful number, since it uses less digits than its factorization.

81734888880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 63.

The spelling of 81734888880 in words is "eighty-one billion, seven hundred thirty-four million, eight hundred eighty-eight thousand, eight hundred eighty".