82581625297440 has 960 divisors, whose sum is σ = 296380132392960. Its totient is φ = 21653049600000.

The previous prime is 82581625297429. The next prime is 82581625297477. The reversal of 82581625297440 is 4479252618528.

82581625297440 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 1 + 62 + 529 + 7 + 4 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 109962217065 + ... + 109962217815.

It is an arithmetic number, because the mean of its divisors is an integer number (308729304576).

Almost surely, 2^{82581625297440} is an apocalyptic number.

82581625297440 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 82581625297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148190066196480).

82581625297440 is an abundant number, since it is smaller than the sum of its proper divisors (213798507095520).

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

82581625297440 is a wasteful number, since it uses less digits than its factorization.

82581625297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 82581625297440 in words is "eighty-two trillion, five hundred eighty-one billion, six hundred twenty-five million, two hundred ninety-seven thousand, four hundred forty".