11552145300 has 108 divisors (see below), whose sum is σ = 36236297916. Its totient is φ = 3078297600.

The previous prime is 11552145299. The next prime is 11552145313. The reversal of 11552145300 is 354125511.

11552145300 is a `hidden beast` number, since 115 + 5 + 2 + 14 + 530 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2883045636 + 8669099664 = 53694^2 + 93108^2 .

It is a super-2 number, since 2×11552145300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1469380 + ... + 1477220.

It is an arithmetic number, because the mean of its divisors is an integer number (335521277).

Almost surely, 2^11552145300 is an apocalyptic number.

11552145300 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 11552145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118148958).

11552145300 is an abundant number, since it is smaller than the sum of its proper divisors (24684152616).

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

11552145300 is a wasteful number, since it uses less digits than its factorization.

11552145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11552145300 in words is "eleven billion, five hundred fifty-two million, one hundred forty-five thousand, three hundred".