11364460800 has 432 divisors, whose sum is σ = 46765673472. Its totient is φ = 2361139200.

The previous prime is 11364460763. The next prime is 11364460831. The reversal of 11364460800 is 806446311.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1474557 + ... + 1482243.

Almost surely, 2^11364460800 is an apocalyptic number.

11364460800 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 11364460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382836736).

11364460800 is an abundant number, since it is smaller than the sum of its proper divisors (35401212672).

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

11364460800 is a wasteful number, since it uses less digits than its factorization.

11364460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 11364460800 in words is "eleven billion, three hundred sixty-four million, four hundred sixty thousand, eight hundred".