365865361920 has 400 divisors, whose sum is σ = 1379398141440. Its totient is φ = 92428148736.

The previous prime is 365865361903. The next prime is 365865361921. The reversal of 365865361920 is 29163568563.

It is a happy number.

365865361920 is a `hidden beast` number, since 3 + 6 + 5 + 86 + 536 + 1 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (365865361921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3893409 + ... + 3986271.

Almost surely, 2^365865361920 is an apocalyptic number.

365865361920 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 365865361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689699070720).

365865361920 is an abundant number, since it is smaller than the sum of its proper divisors (1013532779520).

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

365865361920 is an equidigital number, since it uses as much as digits as its factorization.

365865361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92917 (or 92892 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 365865361920 in words is "three hundred sixty-five billion, eight hundred sixty-five million, three hundred sixty-one thousand, nine hundred twenty".