11247586750400 has 1344 divisors, whose sum is σ = 37844255145984. Its totient is φ = 3203562700800.

The previous prime is 11247586750369. The next prime is 11247586750403. The reversal of 11247586750400 is 405768574211.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11247586750403) 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, 24611786972 + ... + 24611787428.

It is an arithmetic number, because the mean of its divisors is an integer number (28157927936).

Almost surely, 2^{11247586750400} is an apocalyptic number.

11247586750400 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 11247586750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922127572992).

11247586750400 is an abundant number, since it is smaller than the sum of its proper divisors (26596668395584).

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

11247586750400 is a wasteful number, since it uses less digits than its factorization.

11247586750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 11247586750400 in words is "eleven trillion, two hundred forty-seven billion, five hundred eighty-six million, seven hundred fifty thousand, four hundred".