11152501152 has 96 divisors (see below), whose sum is σ = 31548928320. Its totient is φ = 3429181440.

The previous prime is 11152501133. The next prime is 11152501159. The reversal of 11152501152 is 25110525111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11152501152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11152501159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2957124 + ... + 2960892.

It is an arithmetic number, because the mean of its divisors is an integer number (328634670).

Almost surely, 2^11152501152 is an apocalyptic number.

11152501152 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 11152501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774464160).

11152501152 is an abundant number, since it is smaller than the sum of its proper divisors (20396427168).

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

11152501152 is a wasteful number, since it uses less digits than its factorization.

11152501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

The spelling of 11152501152 in words is "eleven billion, one hundred fifty-two million, five hundred one thousand, one hundred fifty-two".