11196925200 has 180 divisors, whose sum is σ = 39907089508. Its totient is φ = 2905113600.

The previous prime is 11196925193. The next prime is 11196925219. The reversal of 11196925200 is 252969111.

It can be written as a sum of positive squares in 6 ways, for example, as 613453824 + 10583471376 = 24768^2 + 102876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×11196925200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91170 + ... + 175230.

Almost surely, 2^11196925200 is an apocalyptic number.

11196925200 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 11196925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953544754).

11196925200 is an abundant number, since it is smaller than the sum of its proper divisors (28710164308).

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

11196925200 is a wasteful number, since it uses less digits than its factorization.

11196925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84122 (or 84108 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

It can be divided in two parts, 11196 and 925200, that added together give a triangular number (936396 = T₁₃₆₈).

The spelling of 11196925200 in words is "eleven billion, one hundred ninety-six million, nine hundred twenty-five thousand, two hundred".