82731737088 has 1344 divisors, whose sum is σ = 343492531200. Its totient is φ = 18473287680.

The previous prime is 82731737071. The next prime is 82731737131. The reversal of 82731737088 is 88073713728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 1402232803 + ... + 1402232861.

It is an arithmetic number, because the mean of its divisors is an integer number (255574800).

Almost surely, 2^82731737088 is an apocalyptic number.

82731737088 is a gapful number since it is divisible by the number (88) 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 82731737088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171746265600).

82731737088 is an abundant number, since it is smaller than the sum of its proper divisors (260760794112).

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

82731737088 is a wasteful number, since it uses less digits than its factorization.

82731737088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 82731737088 in words is "eighty-two billion, seven hundred thirty-one million, seven hundred thirty-seven thousand, eighty-eight".