11060431200 has 1152 divisors, whose sum is σ = 52286653440. Its totient is φ = 2189721600.

The previous prime is 11060431177. The next prime is 11060431211. The reversal of 11060431200 is 213406011.

It is a happy number.

11060431200 is a `hidden beast` number, since 1 + 10 + 604 + 31 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33415035 + ... + 33415365.

It is an arithmetic number, because the mean of its divisors is an integer number (45387720).

Almost surely, 2^11060431200 is an apocalyptic number.

11060431200 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 11060431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26143326720).

11060431200 is an abundant number, since it is smaller than the sum of its proper divisors (41226222240).

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

11060431200 is a wasteful number, since it uses less digits than its factorization.

11060431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11060431200 its reverse (213406011), we get a palindrome (11273837211).

The spelling of 11060431200 in words is "eleven billion, sixty million, four hundred thirty-one thousand, two hundred".