82196494195200 has 1920 divisors, whose sum is σ = 353710301091840. Its totient is φ = 16325836800000.

The previous prime is 82196494195183. The next prime is 82196494195213. The reversal of 82196494195200 is 259149469128.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8660462455 + ... + 8660471945.

It is an arithmetic number, because the mean of its divisors is an integer number (184224115152).

Almost surely, 2^{82196494195200} is an apocalyptic number.

82196494195200 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 82196494195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176855150545920).

82196494195200 is an abundant number, since it is smaller than the sum of its proper divisors (271513806896640).

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

82196494195200 is a wasteful number, since it uses less digits than its factorization.

82196494195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 82196494195200 in words is "eighty-two trillion, one hundred ninety-six billion, four hundred ninety-four million, one hundred ninety-five thousand, two hundred".