82896821700 has 864 divisors, whose sum is σ = 315743957760. Its totient is φ = 16422912000.

The previous prime is 82896821687. The next prime is 82896821729. The reversal of 82896821700 is 712869828.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 760521246 + ... + 760521354.

Almost surely, 2^82896821700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82896821700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157871978880).

82896821700 is an abundant number, since it is smaller than the sum of its proper divisors (232847136060).

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

82896821700 is a wasteful number, since it uses less digits than its factorization.

82896821700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 82896821700 in words is "eighty-two billion, eight hundred ninety-six million, eight hundred twenty-one thousand, seven hundred".