11551306200 has 192 divisors, whose sum is σ = 43332226560. Its totient is φ = 2484971520.

The previous prime is 11551306199. The next prime is 11551306229. The reversal of 11551306200 is 260315511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9492 + ... + 152291.

It is an arithmetic number, because the mean of its divisors is an integer number (225688680).

Almost surely, 2^11551306200 is an apocalyptic number.

11551306200 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 11551306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21666113280).

11551306200 is an abundant number, since it is smaller than the sum of its proper divisors (31780920360).

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

11551306200 is a wasteful number, since it uses less digits than its factorization.

11551306200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161826 (or 161817 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 11551306200 in words is "eleven billion, five hundred fifty-one million, three hundred six thousand, two hundred".