11390135500800 has 2448 divisors, whose sum is σ = 49883886171392. Its totient is φ = 2522559283200.

The previous prime is 11390135500759. The next prime is 11390135500801. The reversal of 11390135500800 is 800553109311.

11390135500800 is a `hidden beast` number, since 1 + 1 + 3 + 90 + 13 + 550 + 0 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11390135500801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 170002022367 + ... + 170002022433.

Almost surely, 2^{11390135500800} is an apocalyptic number.

11390135500800 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 11390135500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24941943085696).

11390135500800 is an abundant number, since it is smaller than the sum of its proper divisors (38493750670592).

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

11390135500800 is an frugal number, since it uses more digits than its factorization.

11390135500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 11390135500800 in words is "eleven trillion, three hundred ninety billion, one hundred thirty-five million, five hundred thousand, eight hundred".