365538085920 has 288 divisors, whose sum is σ = 1445130191232. Its totient is φ = 82406854656.

The previous prime is 365538085897. The next prime is 365538085931. The reversal of 365538085920 is 29580835563.

365538085920 is a `hidden beast` number, since 3 + 6 + 5 + 538 + 0 + 85 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487459 + ... + 984221.

It is an arithmetic number, because the mean of its divisors is an integer number (5017813164).

Almost surely, 2^365538085920 is an apocalyptic number.

365538085920 is a gapful number since it is divisible by the number (30) 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 365538085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722565095616).

365538085920 is an abundant number, since it is smaller than the sum of its proper divisors (1079592105312).

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

365538085920 is a wasteful number, since it uses less digits than its factorization.

365538085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496864 (or 496853 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 365538085920 in words is "three hundred sixty-five billion, five hundred thirty-eight million, eighty-five thousand, nine hundred twenty".