11493087526272 has 1152 divisors, whose sum is σ = 38186783631360. Its totient is φ = 3054190233600.

The previous prime is 11493087526259. The next prime is 11493087526313. The reversal of 11493087526272 is 27262578039411.

11493087526272 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 (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370744758897 + ... + 370744758927.

It is an arithmetic number, because the mean of its divisors is an integer number (33148249680).

It is a 1-persistent number, because it is pandigital, but 2⋅11493087526272 = 22986175052544 is not.

Almost surely, 2^{11493087526272} is an apocalyptic number.

11493087526272 is a gapful number since it is divisible by the number (12) 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 11493087526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093391815680).

11493087526272 is an abundant number, since it is smaller than the sum of its proper divisors (26693696105088).

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

11493087526272 is an equidigital number, since it uses as much as digits as its factorization.

11493087526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 11493087526272 in words is "eleven trillion, four hundred ninety-three billion, eighty-seven million, five hundred twenty-six thousand, two hundred seventy-two".