1365535825920 has 1344 divisors, whose sum is σ = 5723114019840. Its totient is φ = 307973062656.

The previous prime is 1365535825883. The next prime is 1365535825939. The reversal of 1365535825920 is 295285355631.

1365535825920 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 5 + 3 + 582 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123478929 + ... + 6123479151.

It is an arithmetic number, because the mean of its divisors is an integer number (4258269360).

Almost surely, 2^{1365535825920} is an apocalyptic number.

1365535825920 is a gapful number since it is divisible by the number (10) 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 1365535825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861557009920).

1365535825920 is an abundant number, since it is smaller than the sum of its proper divisors (4357578193920).

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

1365535825920 is a wasteful number, since it uses less digits than its factorization.

1365535825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 1365535825920 in words is "one trillion, three hundred sixty-five billion, five hundred thirty-five million, eight hundred twenty-five thousand, nine hundred twenty".