11038436352000 has 2016 divisors, whose sum is σ = 43461128565504. Its totient is φ = 2794881024000.

The previous prime is 11038436351983. The next prime is 11038436352011. The reversal of 11038436352000 is 25363483011.

11038436352000 is a `hidden beast` number, since 1 + 1 + 0 + 38 + 43 + 63 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208272383974 + ... + 208272384026.

Almost surely, 2^{11038436352000} is an apocalyptic number.

11038436352000 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 11038436352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730564282752).

11038436352000 is an abundant number, since it is smaller than the sum of its proper divisors (32422692213504).

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

11038436352000 is an frugal number, since it uses more digits than its factorization.

11038436352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11038436352000 in words is "eleven trillion, thirty-eight billion, four hundred thirty-six million, three hundred fifty-two thousand".