8202211297280 has 1536 divisors, whose sum is σ = 28043671219200. Its totient is φ = 2219625676800.

The previous prime is 8202211297277. The next prime is 8202211297331. The reversal of 8202211297280 is 827921122028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12187535024 + ... + 12187535696.

It is an arithmetic number, because the mean of its divisors is an integer number (18257598450).

Almost surely, 2^{8202211297280} is an apocalyptic number.

8202211297280 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 8202211297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021835609600).

8202211297280 is an abundant number, since it is smaller than the sum of its proper divisors (19841459921920).

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

8202211297280 is a wasteful number, since it uses less digits than its factorization.

8202211297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 8202211297280 in words is "eight trillion, two hundred two billion, two hundred eleven million, two hundred ninety-seven thousand, two hundred eighty".