81703037145600 has 960 divisors, whose sum is σ = 324129165655680. Its totient is φ = 20038606848000.

The previous prime is 81703037145553. The next prime is 81703037145623. The reversal of 81703037145600 is 654173030718.

81703037145600 is a `hidden beast` number, since 8 + 1 + 7 + 0 + 3 + 0 + 37 + 1 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1244472775 + ... + 1244538425.

It is an arithmetic number, because the mean of its divisors is an integer number (337634547558).

Almost surely, 2^{81703037145600} is an apocalyptic number.

81703037145600 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 81703037145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162064582827840).

81703037145600 is an abundant number, since it is smaller than the sum of its proper divisors (242426128510080).

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

81703037145600 is a wasteful number, since it uses less digits than its factorization.

81703037145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65978 (or 65951 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 81703037145600 in words is "eighty-one trillion, seven hundred three billion, thirty-seven million, one hundred forty-five thousand, six hundred".