11838003609600 has 837 divisors, whose sum is σ = 49329846855237. Its totient is φ = 2705829396480.

The previous prime is 11838003609541. The next prime is 11838003609629. The reversal of 11838003609600 is 690630083811.

It is a happy number.

The square root of 11838003609600 is 3440640.

It is a perfect power (a square), and thus also a powerful number.

11838003609600 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 8 + 0 + 0 + 36 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4261681299456 + 7576322310144 = 2064384^2 + 2752512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1691143372797 + ... + 1691143372803.

Almost surely, 2^{11838003609600} is an apocalyptic number.

11838003609600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11838003609600 is the 3440640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11838003609600

11838003609600 is an abundant number, since it is smaller than the sum of its proper divisors (37491843245637).

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

11838003609600 is an frugal number, since it uses more digits than its factorization.

11838003609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11838003609600 in words is "eleven trillion, eight hundred thirty-eight billion, three million, six hundred nine thousand, six hundred".