11244625839720 has 1536 divisors, whose sum is σ = 47908433664000. Its totient is φ = 2222567424000.

The previous prime is 11244625839653. The next prime is 11244625839757. The reversal of 11244625839720 is 2793852644211.

It is a happy number.

11244625839720 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 625 + 8 + 3 + 9 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×11244625839720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16040835370 + ... + 16040836070.

It is an arithmetic number, because the mean of its divisors is an integer number (31190386500).

It is a 1-persistent number, because it is pandigital, but 2⋅11244625839720 = 22489251679440 is not.

Almost surely, 2^{11244625839720} is an apocalyptic number.

11244625839720 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 11244625839720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954216832000).

11244625839720 is an abundant number, since it is smaller than the sum of its proper divisors (36663807824280).

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

11244625839720 is a wasteful number, since it uses less digits than its factorization.

11244625839720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11244625839720 in words is "eleven trillion, two hundred forty-four billion, six hundred twenty-five million, eight hundred thirty-nine thousand, seven hundred twenty".