365594052096 has 960 divisors, whose sum is σ = 1376286912000. Its totient is φ = 96274096128.

The previous prime is 365594052077. The next prime is 365594052097. The reversal of 365594052096 is 690250495563.

It is a happy number.

365594052096 is a `hidden beast` number, since 3 + 65 + 59 + 4 + 0 + 520 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365594052097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554770615 + ... + 554771273.

It is an arithmetic number, because the mean of its divisors is an integer number (1433632200).

Almost surely, 2^365594052096 is an apocalyptic number.

365594052096 is a gapful number since it is divisible by the number (36) 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 365594052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688143456000).

365594052096 is an abundant number, since it is smaller than the sum of its proper divisors (1010692859904).

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

365594052096 is an frugal number, since it uses more digits than its factorization.

365594052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 365594052096 in words is "three hundred sixty-five billion, five hundred ninety-four million, fifty-two thousand, ninety-six".