82545788616480 has 288 divisors, whose sum is σ = 333851857282944. Its totient is φ = 18867608764416.

The previous prime is 82545788616461. The next prime is 82545788616521. The reversal of 82545788616480 is 8461688754528.

It is a happy number.

82545788616480 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 5 + 7 + 88 + 61 + 6 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82545788616399 and 82545788616408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151377217 + ... + 151921536.

It is an arithmetic number, because the mean of its divisors is an integer number (1159207837788).

Almost surely, 2^{82545788616480} is an apocalyptic number.

82545788616480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82545788616480 is an abundant number, since it is smaller than the sum of its proper divisors (251306068666464).

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

82545788616480 is a wasteful number, since it uses less digits than its factorization.

82545788616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303298790 (or 303298770 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 82545788616480 in words is "eighty-two trillion, five hundred forty-five billion, seven hundred eighty-eight million, six hundred sixteen thousand, four hundred eighty".