82215095040 has 576 divisors, whose sum is σ = 324381818880. Its totient is φ = 19581419520.

The previous prime is 82215095021. The next prime is 82215095047. The reversal of 82215095040 is 4059051228.

82215095040 is a `hidden beast` number, since 82 + 21 + 50 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 82215094986 and 82215095004.

It is not an unprimeable number, because it can be changed into a prime (82215095047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13924729 + ... + 13930631.

It is an arithmetic number, because the mean of its divisors is an integer number (563162880).

Almost surely, 2^82215095040 is an apocalyptic number.

82215095040 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 82215095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162190909440).

82215095040 is an abundant number, since it is smaller than the sum of its proper divisors (242166723840).

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

82215095040 is a wasteful number, since it uses less digits than its factorization.

82215095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 82215095040 in words is "eighty-two billion, two hundred fifteen million, ninety-five thousand, forty".