365082794885952 has 1792 divisors, whose sum is σ = 1298195576832000. Its totient is φ = 100395619983360.

The previous prime is 365082794885933. The next prime is 365082794885957. The reversal of 365082794885952 is 259588497280563.

365082794885952 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 82 + 7 + 9 + 488 + 5 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365082794885957) 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 255 ways as a sum of consecutive naturals, for example, 589794498699 + ... + 589794499317.

It is an arithmetic number, because the mean of its divisors is an integer number (724439496000).

Almost surely, 2^{365082794885952} is an apocalyptic number.

365082794885952 is a gapful number since it is divisible by the number (32) 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 365082794885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649097788416000).

365082794885952 is an abundant number, since it is smaller than the sum of its proper divisors (933112781946048).

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

365082794885952 is a wasteful number, since it uses less digits than its factorization.

365082794885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 10450944000, while the sum is 81.

The spelling of 365082794885952 in words is "three hundred sixty-five trillion, eighty-two billion, seven hundred ninety-four million, eight hundred eighty-five thousand, nine hundred fifty-two".