11356048269720 has 1024 divisors, whose sum is σ = 47845416960000. Its totient is φ = 2327328184320.

The previous prime is 11356048269593. The next prime is 11356048269773. The reversal of 11356048269720 is 2796284065311.

It is a happy number.

11356048269720 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 604 + 8 + 2 + 6 + 9 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2057625121 + ... + 2057630639.

It is an arithmetic number, because the mean of its divisors is an integer number (46724040000).

It is a 1-persistent number, because it is pandigital, but 2⋅11356048269720 = 22712096539440 is not.

Almost surely, 2^{11356048269720} is an apocalyptic number.

11356048269720 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 11356048269720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922708480000).

11356048269720 is an abundant number, since it is smaller than the sum of its proper divisors (36489368690280).

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

11356048269720 is a wasteful number, since it uses less digits than its factorization.

11356048269720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11356048269720 in words is "eleven trillion, three hundred fifty-six billion, forty-eight million, two hundred sixty-nine thousand, seven hundred twenty".