81011410191360 has 2640 divisors, whose sum is σ = 344479037348160. Its totient is φ = 18041394954240.

The previous prime is 81011410191289. The next prime is 81011410191401. The reversal of 81011410191360 is 6319101411018.

81011410191360 is a `hidden beast` number, since 8 + 10 + 11 + 410 + 191 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56690979126 + ... + 56690980554.

It is an arithmetic number, because the mean of its divisors is an integer number (130484483844).

Almost surely, 2^{81011410191360} is an apocalyptic number.

81011410191360 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 81011410191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172239518674080).

81011410191360 is an abundant number, since it is smaller than the sum of its proper divisors (263467627156800).

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

81011410191360 is a wasteful number, since it uses less digits than its factorization.

81011410191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 81011410191360 in words is "eighty-one trillion, eleven billion, four hundred ten million, one hundred ninety-one thousand, three hundred sixty".