82281249757440 has 288 divisors, whose sum is σ = 295588909862400. Its totient is φ = 21941665855488.

The previous prime is 82281249757393. The next prime is 82281249757459. The reversal of 82281249757440 is 4475794218228.

82281249757440 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 12 + 4 + 9 + 7 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11897080 + ... + 17495799.

Almost surely, 2^{82281249757440} is an apocalyptic number.

82281249757440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82281249757440 is an abundant number, since it is smaller than the sum of its proper divisors (213307660104960).

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

82281249757440 is an frugal number, since it uses more digits than its factorization.

82281249757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29392921 (or 29392889 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 82281249757440 in words is "eighty-two trillion, two hundred eighty-one billion, two hundred forty-nine million, seven hundred fifty-seven thousand, four hundred forty".