11134972800 has 1440 divisors, whose sum is σ = 52477690320. Its totient is φ = 2269347840.

The previous prime is 11134972769. The next prime is 11134972811. The reversal of 11134972800 is 827943111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 586051191 + ... + 586051209.

Almost surely, 2^11134972800 is an apocalyptic number.

11134972800 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 11134972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238845160).

11134972800 is an abundant number, since it is smaller than the sum of its proper divisors (41342717520).

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

11134972800 is a wasteful number, since it uses less digits than its factorization.

11134972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11134972800 in words is "eleven billion, one hundred thirty-four million, nine hundred seventy-two thousand, eight hundred".