11136513964800 has 648 divisors, whose sum is σ = 43294745625600. Its totient is φ = 2513250754560.

The previous prime is 11136513964777. The next prime is 11136513964963. The reversal of 11136513964800 is 846931563111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11136513964800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74248281 + ... + 74398119.

Almost surely, 2^{11136513964800} is an apocalyptic number.

11136513964800 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 11136513964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647372812800).

11136513964800 is an abundant number, since it is smaller than the sum of its proper divisors (32158231660800).

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

11136513964800 is a wasteful number, since it uses less digits than its factorization.

11136513964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149961 (or 149935 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 11136513964800 in words is "eleven trillion, one hundred thirty-six billion, five hundred thirteen million, nine hundred sixty-four thousand, eight hundred".