82590929421840 has 640 divisors, whose sum is σ = 333049946296320. Its totient is φ = 18418444111872.

The previous prime is 82590929421839. The next prime is 82590929421851. The reversal of 82590929421840 is 4812492909528.

82590929421840 is a `hidden beast` number, since 8 + 2 + 5 + 90 + 9 + 294 + 218 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 589625092 + ... + 589765148.

It is an arithmetic number, because the mean of its divisors is an integer number (520390541088).

Almost surely, 2^{82590929421840} is an apocalyptic number.

82590929421840 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 82590929421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166524973148160).

82590929421840 is an abundant number, since it is smaller than the sum of its proper divisors (250459016874480).

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

82590929421840 is a wasteful number, since it uses less digits than its factorization.

82590929421840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141036 (or 141024 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 82590929421840 in words is "eighty-two trillion, five hundred ninety billion, nine hundred twenty-nine million, four hundred twenty-one thousand, eight hundred forty".