82520148480 has 640 divisors, whose sum is σ = 336012779520. Its totient is φ = 16776560640.

The previous prime is 82520148479. The next prime is 82520148481. The reversal of 82520148480 is 8484102528.

It is an interprime number because it is at equal distance from previous prime (82520148479) and next prime (82520148481).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×82520148480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82520148481) 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, 27792436 + ... + 27795404.

It is an arithmetic number, because the mean of its divisors is an integer number (525019968).

Almost surely, 2^82520148480 is an apocalyptic number.

82520148480 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 82520148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168006389760).

82520148480 is an abundant number, since it is smaller than the sum of its proper divisors (253492631040).

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

82520148480 is a wasteful number, since it uses less digits than its factorization.

82520148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 82520148480 in words is "eighty-two billion, five hundred twenty million, one hundred forty-eight thousand, four hundred eighty".