1365919330900 has 144 divisors (see below), whose sum is σ = 3275290368000. Its totient is φ = 492423062400.

The previous prime is 1365919330883. The next prime is 1365919330961. The reversal of 1365919330900 is 90339195631.

It is a super-3 number, since 3×1365919330900³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3278571 + ... + 3671629.

It is an arithmetic number, because the mean of its divisors is an integer number (22745072000).

Almost surely, 2^{1365919330900} is an apocalyptic number.

1365919330900 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 1365919330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637645184000).

1365919330900 is an abundant number, since it is smaller than the sum of its proper divisors (1909371037100).

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

1365919330900 is a wasteful number, since it uses less digits than its factorization.

1365919330900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393182 (or 393175 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 49.

The spelling of 1365919330900 in words is "one trillion, three hundred sixty-five billion, nine hundred nineteen million, three hundred thirty thousand, nine hundred".