11253541200 has 480 divisors, whose sum is σ = 41555054592. Its totient is φ = 2576640000.

The previous prime is 11253541199. The next prime is 11253541207. The reversal of 11253541200 is 214535211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253541207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30663417 + ... + 30663783.

Almost surely, 2^11253541200 is an apocalyptic number.

11253541200 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 11253541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777527296).

11253541200 is an abundant number, since it is smaller than the sum of its proper divisors (30301513392).

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

11253541200 is a wasteful number, since it uses less digits than its factorization.

11253541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

It can be divided in two parts, 112535 and 41200, that added together give a triangular number (153735 = T₅₅₄).

The spelling of 11253541200 in words is "eleven billion, two hundred fifty-three million, five hundred forty-one thousand, two hundred".