3563765100000 has 2592 divisors, whose sum is σ = 15868286677152. Its totient is φ = 783820800000.

The previous prime is 3563765099989. The next prime is 3563765100001. The reversal of 3563765100000 is 15673653.

It is a happy number.

3563765100000 is a `hidden beast` number, since 3 + 5 + 637 + 6 + 5 + 10 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563765100001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 48818699964 + ... + 48818700036.

It is an arithmetic number, because the mean of its divisors is an integer number (6122024181).

Almost surely, 2^{3563765100000} is an apocalyptic number.

3563765100000 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 3563765100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934143338576).

3563765100000 is an abundant number, since it is smaller than the sum of its proper divisors (12304521577152).

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

3563765100000 is an frugal number, since it uses more digits than its factorization.

3563765100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 3563765100000 in words is "three trillion, five hundred sixty-three billion, seven hundred sixty-five million, one hundred thousand".