81875090241360 has 1280 divisors, whose sum is σ = 318090940876800. Its totient is φ = 19217969971200.

The previous prime is 81875090241257. The next prime is 81875090241367. The reversal of 81875090241360 is 6314209057818.

81875090241360 is a `hidden beast` number, since 8 + 1 + 87 + 5 + 0 + 90 + 2 + 413 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81875090241297 and 81875090241306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81875090241367) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28617646330 + ... + 28617649190.

It is an arithmetic number, because the mean of its divisors is an integer number (248508547560).

It is a 1-persistent number, because it is pandigital, but 2⋅81875090241360 = 163750180482720 is not.

Almost surely, 2^{81875090241360} is an apocalyptic number.

81875090241360 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 81875090241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159045470438400).

81875090241360 is an abundant number, since it is smaller than the sum of its proper divisors (236215850635440).

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

81875090241360 is a wasteful number, since it uses less digits than its factorization.

81875090241360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 81875090241360 in words is "eighty-one trillion, eight hundred seventy-five billion, ninety million, two hundred forty-one thousand, three hundred sixty".