11351252000 has 288 divisors, whose sum is σ = 31370976000. Its totient is φ = 4031808000.

The previous prime is 11351251993. The next prime is 11351252027. The reversal of 11351252000 is 25215311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 22747751 + ... + 22748249.

It is an arithmetic number, because the mean of its divisors is an integer number (108927000).

Almost surely, 2^11351252000 is an apocalyptic number.

11351252000 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 11351252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488000).

11351252000 is an abundant number, since it is smaller than the sum of its proper divisors (20019724000).

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

11351252000 is a wasteful number, since it uses less digits than its factorization.

11351252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11351252000 its reverse (25215311), we get a palindrome (11376467311).

The spelling of 11351252000 in words is "eleven billion, three hundred fifty-one million, two hundred fifty-two thousand".