82970194320 has 640 divisors, whose sum is σ = 318504614400. Its totient is φ = 19724083200.

The previous prime is 82970194313. The next prime is 82970194343. The reversal of 82970194320 is 2349107928.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101059510 + ... + 101060330.

It is an arithmetic number, because the mean of its divisors is an integer number (497663460).

Almost surely, 2^82970194320 is an apocalyptic number.

82970194320 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 82970194320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159252307200).

82970194320 is an abundant number, since it is smaller than the sum of its proper divisors (235534420080).

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

82970194320 is a wasteful number, since it uses less digits than its factorization.

82970194320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 82970194320 in words is "eighty-two billion, nine hundred seventy million, one hundred ninety-four thousand, three hundred twenty".