82145550258240 has 224 divisors, whose sum is σ = 298156464497664. Its totient is φ = 18770741975040.

The previous prime is 82145550258221. The next prime is 82145550258253. The reversal of 82145550258240 is 4285205554128.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21708727 + ... + 25210313.

Almost surely, 2^{82145550258240} is an apocalyptic number.

82145550258240 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 82145550258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149078232248832).

82145550258240 is an abundant number, since it is smaller than the sum of its proper divisors (216010914239424).

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

82145550258240 is a wasteful number, since it uses less digits than its factorization.

82145550258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505105 (or 3505095 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 51.

The spelling of 82145550258240 in words is "eighty-two trillion, one hundred forty-five billion, five hundred fifty million, two hundred fifty-eight thousand, two hundred forty".