82027715040 has 960 divisors, whose sum is σ = 319419555840. Its totient is φ = 19752284160.

The previous prime is 82027714999. The next prime is 82027715069. The reversal of 82027715040 is 4051772028.

82027715040 is a `hidden beast` number, since 82 + 0 + 2 + 7 + 71 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82027714986 and 82027715004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 645887457 + ... + 645887583.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^82027715040 is an apocalyptic number.

82027715040 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 82027715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159709777920).

82027715040 is an abundant number, since it is smaller than the sum of its proper divisors (237391840800).

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

82027715040 is a wasteful number, since it uses less digits than its factorization.

82027715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 82027715040 in words is "eighty-two billion, twenty-seven million, seven hundred fifteen thousand, forty".