82250721000 has 320 divisors, whose sum is σ = 328587367680. Its totient is φ = 18800035200.

The previous prime is 82250720987. The next prime is 82250721017. The reversal of 82250721000 is 12705228.

It is a super-2 number, since 2×82250721000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 494469 + ... + 639531.

It is an arithmetic number, because the mean of its divisors is an integer number (1026835524).

Almost surely, 2^82250721000 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 82250721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164293683840).

82250721000 is an abundant number, since it is smaller than the sum of its proper divisors (246336646680).

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

82250721000 is a wasteful number, since it uses less digits than its factorization.

82250721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145103 (or 145080 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 82250721000 in words is "eighty-two billion, two hundred fifty million, seven hundred twenty-one thousand".