82361549760 has 224 divisors, whose sum is σ = 309160834560. Its totient is φ = 18176299008.

The previous prime is 82361549759. The next prime is 82361549779. The reversal of 82361549760 is 6794516328.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16434 + ... + 406193.

It is a 1-persistent number, because it is pandigital, but 2⋅82361549760 = 164723099520 is not.

Almost surely, 2^82361549760 is an apocalyptic number.

82361549760 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 82361549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154580417280).

82361549760 is an abundant number, since it is smaller than the sum of its proper divisors (226799284800).

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

82361549760 is a wasteful number, since it uses less digits than its factorization.

82361549760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422683 (or 422673 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82361549760 in words is "eighty-two billion, three hundred sixty-one million, five hundred forty-nine thousand, seven hundred sixty".