81737500992 has 224 divisors, whose sum is σ = 249477580800. Its totient is φ = 23135557632.

The previous prime is 81737500991. The next prime is 81737500997. The reversal of 81737500992 is 29900573718.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81737500991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97422109 + ... + 97422947.

It is an arithmetic number, because the mean of its divisors is an integer number (1113739200).

Almost surely, 2^81737500992 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 81737500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124738790400).

81737500992 is an abundant number, since it is smaller than the sum of its proper divisors (167740079808).

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

81737500992 is a wasteful number, since it uses less digits than its factorization.

81737500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 81737500992 in words is "eighty-one billion, seven hundred thirty-seven million, five hundred thousand, nine hundred ninety-two".