82590946945920 has 640 divisors, whose sum is σ = 337185124436160. Its totient is φ = 18872183291904.

The previous prime is 82590946945789. The next prime is 82590946945921. The reversal of 82590946945920 is 2954964909528.

82590946945920 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 0 + 94 + 69 + 459 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82590946945921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1254443242 + ... + 1254509078.

Almost surely, 2^{82590946945920} is an apocalyptic number.

82590946945920 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 82590946945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592562218080).

82590946945920 is an abundant number, since it is smaller than the sum of its proper divisors (254594177490240).

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

82590946945920 is a wasteful number, since it uses less digits than its factorization.

82590946945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69332 (or 69311 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 82590946945920 in words is "eighty-two trillion, five hundred ninety billion, nine hundred forty-six million, nine hundred forty-five thousand, nine hundred twenty".