82021248000 has 704 divisors, whose sum is σ = 307938234240. Its totient is φ = 21797683200.

The previous prime is 82021247999. The next prime is 82021248011. The reversal of 82021248000 is 84212028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279935854 + ... + 279936146.

Almost surely, 2^82021248000 is an apocalyptic number.

82021248000 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 82021248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153969117120).

82021248000 is an abundant number, since it is smaller than the sum of its proper divisors (225916986240).

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

82021248000 is an frugal number, since it uses more digits than its factorization.

82021248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 82021248000 in words is "eighty-two billion, twenty-one million, two hundred forty-eight thousand".