82277869191840 has 432 divisors, whose sum is σ = 331568721679104. Its totient is φ = 18199710858240.

The previous prime is 82277869191781. The next prime is 82277869191857. The reversal of 82277869191840 is 4819196877228.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5440009 + ... + 13933751.

It is an arithmetic number, because the mean of its divisors is an integer number (767520189072).

Almost surely, 2^{82277869191840} is an apocalyptic number.

82277869191840 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 82277869191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784360839552).

82277869191840 is an abundant number, since it is smaller than the sum of its proper divisors (249290852487264).

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

82277869191840 is a wasteful number, since it uses less digits than its factorization.

82277869191840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493833 (or 8493791 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 82277869191840 in words is "eighty-two trillion, two hundred seventy-seven billion, eight hundred sixty-nine million, one hundred ninety-one thousand, eight hundred forty".