11809052366400 has 2016 divisors, whose sum is σ = 47227900756608. Its totient is φ = 2785679769600.

The previous prime is 11809052366389. The next prime is 11809052366513. The reversal of 11809052366400 is 466325090811.

11809052366400 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 9 + 0 + 5 + 236 + 6 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 34031851027 + ... + 34031851373.

Almost surely, 2^{11809052366400} is an apocalyptic number.

11809052366400 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 11809052366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613950378304).

11809052366400 is an abundant number, since it is smaller than the sum of its proper divisors (35418848390208).

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

11809052366400 is a wasteful number, since it uses less digits than its factorization.

11809052366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11809052366400 in words is "eleven trillion, eight hundred nine billion, fifty-two million, three hundred sixty-six thousand, four hundred".