81515495301120 has 560 divisors, whose sum is σ = 309420540957528. Its totient is φ = 20458776821760.

The previous prime is 81515495301109. The next prime is 81515495301151. The reversal of 81515495301120 is 2110359451518.

81515495301120 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 5 + 495 + 30 + 1 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69246896246784 + 12268599054336 = 8321472^2 + 3502656^2 .

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55679290 + ... + 57124550.

Almost surely, 2^{81515495301120} is an apocalyptic number.

81515495301120 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 81515495301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154710270478764).

81515495301120 is an abundant number, since it is smaller than the sum of its proper divisors (227905045656408).

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

81515495301120 is a wasteful number, since it uses less digits than its factorization.

81515495301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445321 (or 1445288 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 81515495301120 in words is "eighty-one trillion, five hundred fifteen billion, four hundred ninety-five million, three hundred one thousand, one hundred twenty".