11291464800 has 1440 divisors, whose sum is σ = 53720561664. Its totient is φ = 2239488000.

The previous prime is 11291464783. The next prime is 11291464801. The reversal of 11291464800 is 846419211.

11291464800 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 1 + 4 + 648 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (11291464801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 154677564 + ... + 154677636.

Almost surely, 2^11291464800 is an apocalyptic number.

11291464800 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 11291464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860280832).

11291464800 is an abundant number, since it is smaller than the sum of its proper divisors (42429096864).

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

11291464800 is a wasteful number, since it uses less digits than its factorization.

11291464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11291464800 in words is "eleven billion, two hundred ninety-one million, four hundred sixty-four thousand, eight hundred".