11838202306560 has 3024 divisors, whose sum is σ = 52933425816960. Its totient is φ = 2528292372480.

The previous prime is 11838202306523. The next prime is 11838202306577. The reversal of 11838202306560 is 6560320283811.

11838202306560 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 82 + 0 + 2 + 3 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 381877493745 + ... + 381877493775.

Almost surely, 2^{11838202306560} is an apocalyptic number.

11838202306560 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 11838202306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26466712908480).

11838202306560 is an abundant number, since it is smaller than the sum of its proper divisors (41095223510400).

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

11838202306560 is an frugal number, since it uses more digits than its factorization.

11838202306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11838202306560 in words is "eleven trillion, eight hundred thirty-eight billion, two hundred two million, three hundred six thousand, five hundred sixty".