361565535760 has 480 divisors, whose sum is σ = 1052182656000. Its totient is φ = 114221352960.

The previous prime is 361565535719. The next prime is 361565535761. The reversal of 361565535760 is 67535565163.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 361565535698 and 361565535707.

It is not an unprimeable number, because it can be changed into a prime (361565535761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562309999 + ... + 562310641.

It is an arithmetic number, because the mean of its divisors is an integer number (2192047200).

Almost surely, 2^361565535760 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 361565535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526091328000).

361565535760 is an abundant number, since it is smaller than the sum of its proper divisors (690617120240).

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

361565535760 is a wasteful number, since it uses less digits than its factorization.

361565535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 52.

The spelling of 361565535760 in words is "three hundred sixty-one billion, five hundred sixty-five million, five hundred thirty-five thousand, seven hundred sixty".