11493527760 has 720 divisors, whose sum is σ = 47237119488. Its totient is φ = 2480025600.

The previous prime is 11493527741. The next prime is 11493527789. The reversal of 11493527760 is 6772539411.

11493527760 is a `hidden beast` number, since 11 + 49 + 3 + 527 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41492742 + ... + 41493018.

Almost surely, 2^11493527760 is an apocalyptic number.

11493527760 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 11493527760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618559744).

11493527760 is an abundant number, since it is smaller than the sum of its proper divisors (35743591728).

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

11493527760 is a wasteful number, since it uses less digits than its factorization.

11493527760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11493527760 in words is "eleven billion, four hundred ninety-three million, five hundred twenty-seven thousand, seven hundred sixty".