82191957120 has 1920 divisors, whose sum is σ = 390017073600. Its totient is φ = 16303472640.

The previous prime is 82191957097. The next prime is 82191957131. The reversal of 82191957120 is 2175919128.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 627419455 + ... + 627419585.

Almost surely, 2^82191957120 is an apocalyptic number.

82191957120 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 82191957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195008536800).

82191957120 is an abundant number, since it is smaller than the sum of its proper divisors (307825116480).

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

82191957120 is a wasteful number, since it uses less digits than its factorization.

82191957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 82191957120 in words is "eighty-two billion, one hundred ninety-one million, nine hundred fifty-seven thousand, one hundred twenty".