81750306122240 has 640 divisors, whose sum is σ = 233714070627840. Its totient is φ = 26847297404928.

The previous prime is 81750306122231. The next prime is 81750306122257. The reversal of 81750306122240 is 4222160305718.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×81750306122240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7190627276 + ... + 7190638644.

It is an arithmetic number, because the mean of its divisors is an integer number (365178235356).

Almost surely, 2^{81750306122240} is an apocalyptic number.

81750306122240 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 81750306122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116857035313920).

81750306122240 is an abundant number, since it is smaller than the sum of its proper divisors (151963764505600).

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

81750306122240 is a wasteful number, since it uses less digits than its factorization.

81750306122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

Adding to 81750306122240 its reverse (4222160305718), we get a palindrome (85972466427958).

The spelling of 81750306122240 in words is "eighty-one trillion, seven hundred fifty billion, three hundred six million, one hundred twenty-two thousand, two hundred forty".