81035868825408 has 224 divisors, whose sum is σ = 246028680529920. Its totient is φ = 23059549624320.

The previous prime is 81035868825389. The next prime is 81035868825433. The reversal of 81035868825408 is 80452886853018.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437208658 + ... + 437393966.

Almost surely, 2^{81035868825408} 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 81035868825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123014340264960).

81035868825408 is an abundant number, since it is smaller than the sum of its proper divisors (164992811704512).

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

81035868825408 is a wasteful number, since it uses less digits than its factorization.

81035868825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186645 (or 186635 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 66.

The spelling of 81035868825408 in words is "eighty-one trillion, thirty-five billion, eight hundred sixty-eight million, eight hundred twenty-five thousand, four hundred eight".