11528625024 has 160 divisors (see below), whose sum is σ = 39210534000. Its totient is φ = 3293872128.

The previous prime is 11528625019. The next prime is 11528625029. The reversal of 11528625024 is 42052682511.

11528625024 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 625 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (11528625019) and next prime (11528625029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11528625024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11528625029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6849 + ... + 152000.

Almost surely, 2^11528625024 is an apocalyptic number.

11528625024 is a gapful number since it is divisible by the number (14) 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 11528625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605267000).

11528625024 is an abundant number, since it is smaller than the sum of its proper divisors (27681908976).

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

11528625024 is an equidigital number, since it uses as much as digits as its factorization.

11528625024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158882 (or 158861 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11528625024 in words is "eleven billion, five hundred twenty-eight million, six hundred twenty-five thousand, twenty-four".