82601930185152 has 672 divisors, whose sum is σ = 258552908921088. Its totient is φ = 23203679256576.

The previous prime is 82601930185127. The next prime is 82601930185211. The reversal of 82601930185152 is 25158103910628.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 82601930185095 and 82601930185104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99881414563 + ... + 99881415389.

Almost surely, 2^{82601930185152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82601930185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276454460544).

82601930185152 is an abundant number, since it is smaller than the sum of its proper divisors (175950978735936).

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

82601930185152 is a wasteful number, since it uses less digits than its factorization.

82601930185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 82601930185152 in words is "eighty-two trillion, six hundred one billion, nine hundred thirty million, one hundred eighty-five thousand, one hundred fifty-two".