82560958480 has 240 divisors, whose sum is σ = 262332834624. Its totient is φ = 23753640960.

The previous prime is 82560958373. The next prime is 82560958481. The reversal of 82560958480 is 8485906528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (82560958481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486919 + ... + 634201.

Almost surely, 2^82560958480 is an apocalyptic number.

82560958480 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 82560958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131166417312).

82560958480 is an abundant number, since it is smaller than the sum of its proper divisors (179771876144).

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

82560958480 is a wasteful number, since it uses less digits than its factorization.

82560958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147334 (or 147321 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 82560958480 in words is "eighty-two billion, five hundred sixty million, nine hundred fifty-eight thousand, four hundred eighty".