81300510720 has 1152 divisors, whose sum is σ = 343429632000. Its totient is φ = 17517772800.

The previous prime is 81300510719. The next prime is 81300510721. The reversal of 81300510720 is 2701500318.

81300510720 is a `hidden beast` number, since 81 + 3 + 0 + 0 + 510 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81300510719) and next prime (81300510721).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81300510721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408545181 + ... + 408545379.

It is an arithmetic number, because the mean of its divisors is an integer number (298116000).

Almost surely, 2^81300510720 is an apocalyptic number.

81300510720 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 81300510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816000).

81300510720 is an abundant number, since it is smaller than the sum of its proper divisors (262129121280).

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

81300510720 is a wasteful number, since it uses less digits than its factorization.

81300510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 81300510720 in words is "eighty-one billion, three hundred million, five hundred ten thousand, seven hundred twenty".