11315304000 has 1344 divisors, whose sum is σ = 54692531712. Its totient is φ = 2156544000.

The previous prime is 11315303971. The next prime is 11315304019. The reversal of 11315304000 is 40351311.

11315304000 is a `hidden beast` number, since 1 + 131 + 530 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11315304000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72071922 + ... + 72072078.

It is an arithmetic number, because the mean of its divisors is an integer number (40693848).

Almost surely, 2^11315304000 is an apocalyptic number.

11315304000 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 11315304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27346265856).

11315304000 is an abundant number, since it is smaller than the sum of its proper divisors (43377227712).

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

11315304000 is a wasteful number, since it uses less digits than its factorization.

11315304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11315304000 its reverse (40351311), we get a palindrome (11355655311).

The spelling of 11315304000 in words is "eleven billion, three hundred fifteen million, three hundred four thousand".