11111530752 has 864 divisors, whose sum is σ = 42855321600. Its totient is φ = 2794881024.

The previous prime is 11111530751. The next prime is 11111530777. The reversal of 11111530752 is 25703511111.

11111530752 is a `hidden beast` number, since 11 + 111 + 530 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×11111530752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111530751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140652249 + ... + 140652327.

Almost surely, 2^11111530752 is an apocalyptic number.

11111530752 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 11111530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427660800).

11111530752 is an abundant number, since it is smaller than the sum of its proper divisors (31743790848).

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

11111530752 is an equidigital number, since it uses as much as digits as its factorization.

11111530752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 11111530752 in words is "eleven billion, one hundred eleven million, five hundred thirty thousand, seven hundred fifty-two".