82446911426880 has 4032 divisors, whose sum is σ = 396227510515200. Its totient is φ = 15622349783040.

The previous prime is 82446911426863. The next prime is 82446911426897. The reversal of 82446911426880 is 8862411964428.

82446911426880 is a `hidden beast` number, since 8 + 2 + 4 + 46 + 91 + 1 + 426 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82446911426863) and next prime (82446911426897).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×82446911426880³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 150725614767 + ... + 150725615313.

Almost surely, 2^{82446911426880} is an apocalyptic number.

82446911426880 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 82446911426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198113755257600).

82446911426880 is an abundant number, since it is smaller than the sum of its proper divisors (313780599088320).

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

82446911426880 is a wasteful number, since it uses less digits than its factorization.

82446911426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 82446911426880 in words is "eighty-two trillion, four hundred forty-six billion, nine hundred eleven million, four hundred twenty-six thousand, eight hundred eighty".