82253191680 has 720 divisors, whose sum is σ = 330412271904. Its totient is φ = 18750504960.

The previous prime is 82253191679. The next prime is 82253191681. The reversal of 82253191680 is 8619135228.

82253191680 is a `hidden beast` number, since 8 + 22 + 531 + 9 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82253191679) and next prime (82253191681).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82253191681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73243599 + ... + 73244721.

Almost surely, 2^82253191680 is an apocalyptic number.

82253191680 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 82253191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165206135952).

82253191680 is an abundant number, since it is smaller than the sum of its proper divisors (248159080224).

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

82253191680 is a wasteful number, since it uses less digits than its factorization.

82253191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 82253191680 in words is "eighty-two billion, two hundred fifty-three million, one hundred ninety-one thousand, six hundred eighty".