11268704229120 has 1728 divisors, whose sum is σ = 44295260405760. Its totient is φ = 2626614853632.

The previous prime is 11268704229109. The next prime is 11268704229121. The reversal of 11268704229120 is 2192240786211.

11268704229120 is a `hidden beast` number, since 1 + 1 + 26 + 87 + 0 + 422 + 9 + 120 = 666.

11268704229120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268704229121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47149389961 + ... + 47149390199.

Almost surely, 2^{11268704229120} is an apocalyptic number.

11268704229120 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 11268704229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147630202880).

11268704229120 is an abundant number, since it is smaller than the sum of its proper divisors (33026556176640).

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

11268704229120 is a wasteful number, since it uses less digits than its factorization.

11268704229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11268704229120 in words is "eleven trillion, two hundred sixty-eight billion, seven hundred four million, two hundred twenty-nine thousand, one hundred twenty".