11248156800 has 384 divisors, whose sum is σ = 41427259200. Its totient is φ = 2980454400.

The previous prime is 11248156781. The next prime is 11248156837. The reversal of 11248156800 is 865184211.

11248156800 is a `hidden beast` number, since 1 + 12 + 4 + 81 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 18230092 + ... + 18230708.

Almost surely, 2^11248156800 is an apocalyptic number.

11248156800 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 11248156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713629600).

11248156800 is an abundant number, since it is smaller than the sum of its proper divisors (30179102400).

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

11248156800 is a wasteful number, since it uses less digits than its factorization.

11248156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11248156800 in words is "eleven billion, two hundred forty-eight million, one hundred fifty-six thousand, eight hundred".