81302155168320 has 784 divisors, whose sum is σ = 300116400284160. Its totient is φ = 20947274956800.

The previous prime is 81302155168307. The next prime is 81302155168357. The reversal of 81302155168320 is 2386155120318.

81302155168320 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 2 + 1 + 551 + 68 + 32 + 0 = 666.

81302155168320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81302155168320² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4635498111 + ... + 4635515649.

Almost surely, 2^{81302155168320} is an apocalyptic number.

81302155168320 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 81302155168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150058200142080).

81302155168320 is an abundant number, since it is smaller than the sum of its proper divisors (218814245115840).

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

81302155168320 is a wasteful number, since it uses less digits than its factorization.

81302155168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 81302155168320 in words is "eighty-one trillion, three hundred two billion, one hundred fifty-five million, one hundred sixty-eight thousand, three hundred twenty".