82918332010560 has 448 divisors, whose sum is σ = 268671755003904. Its totient is φ = 21662484480000.

The previous prime is 82918332010541. The next prime is 82918332010567. The reversal of 82918332010560 is 6501023381928.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82918332010567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7231033947 + ... + 7231045413.

It is an arithmetic number, because the mean of its divisors is an integer number (599713738848).

Almost surely, 2^{82918332010560} is an apocalyptic number.

82918332010560 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 82918332010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134335877501952).

82918332010560 is an abundant number, since it is smaller than the sum of its proper divisors (185753422993344).

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

82918332010560 is a wasteful number, since it uses less digits than its factorization.

82918332010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12322 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 82918332010560 in words is "eighty-two trillion, nine hundred eighteen billion, three hundred thirty-two million, ten thousand, five hundred sixty".