82560138570 has 480 divisors, whose sum is σ = 284294862720. Its totient is φ = 16812956160.

The previous prime is 82560138559. The next prime is 82560138653. The reversal of 82560138570 is 7583106528.

82560138570 is a `hidden beast` number, since 8 + 2 + 5 + 60 + 13 + 8 + 570 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27787185 + ... + 27790155.

It is an arithmetic number, because the mean of its divisors is an integer number (592280964).

Almost surely, 2^82560138570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82560138570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142147431360).

82560138570 is an abundant number, since it is smaller than the sum of its proper divisors (201734724150).

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

82560138570 is a wasteful number, since it uses less digits than its factorization.

82560138570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 82560138570 in words is "eighty-two billion, five hundred sixty million, one hundred thirty-eight thousand, five hundred seventy".