11272529371680 has 1152 divisors, whose sum is σ = 43040199750912. Its totient is φ = 2775866277888.

The previous prime is 11272529371603. The next prime is 11272529371751. The reversal of 11272529371680 is 8617392527211.

11272529371680 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 529 + 37 + 1 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20237933962 + ... + 20237934518.

It is an arithmetic number, because the mean of its divisors is an integer number (37361284506).

Almost surely, 2^{11272529371680} is an apocalyptic number.

11272529371680 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 11272529371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520099875456).

11272529371680 is an abundant number, since it is smaller than the sum of its proper divisors (31767670379232).

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

11272529371680 is a wasteful number, since it uses less digits than its factorization.

11272529371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11272529371680 in words is "eleven trillion, two hundred seventy-two billion, five hundred twenty-nine million, three hundred seventy-one thousand, six hundred eighty".