82361301120 has 768 divisors, whose sum is σ = 341667849600. Its totient is φ = 18695577600.

The previous prime is 82361301101. The next prime is 82361301131. The reversal of 82361301120 is 2110316328.

It is a happy number.

82361301120 is a `hidden beast` number, since 8 + 23 + 613 + 0 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 178657690 + ... + 178658150.

Almost surely, 2^82361301120 is an apocalyptic number.

82361301120 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 82361301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170833924800).

82361301120 is an abundant number, since it is smaller than the sum of its proper divisors (259306548480).

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

82361301120 is a wasteful number, since it uses less digits than its factorization.

82361301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 82361301120 its reverse (2110316328), we get a palindrome (84471617448).

The spelling of 82361301120 in words is "eighty-two billion, three hundred sixty-one million, three hundred one thousand, one hundred twenty".