82269665280 has 960 divisors, whose sum is σ = 328786698240. Its totient is φ = 19508428800.

The previous prime is 82269665251. The next prime is 82269665293. The reversal of 82269665280 is 8256696228.

82269665280 is a `hidden beast` number, since 8 + 2 + 26 + 96 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 647792577 + ... + 647792703.

It is an arithmetic number, because the mean of its divisors is an integer number (342486144).

Almost surely, 2^82269665280 is an apocalyptic number.

82269665280 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 82269665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164393349120).

82269665280 is an abundant number, since it is smaller than the sum of its proper divisors (246517032960).

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

82269665280 is a wasteful number, since it uses less digits than its factorization.

82269665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 82269665280 in words is "eighty-two billion, two hundred sixty-nine million, six hundred sixty-five thousand, two hundred eighty".