11318630400 has 1296 divisors, whose sum is σ = 52677097200. Its totient is φ = 2270822400.

The previous prime is 11318630399. The next prime is 11318630431. The reversal of 11318630400 is 403681311.

11318630400 is a `hidden beast` number, since 1 + 13 + 18 + 630 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×11318630400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 390297586 + ... + 390297614.

Almost surely, 2^11318630400 is an apocalyptic number.

11318630400 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 11318630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338548600).

11318630400 is an abundant number, since it is smaller than the sum of its proper divisors (41358466800).

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

11318630400 is a wasteful number, since it uses less digits than its factorization.

11318630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11318630400 in words is "eleven billion, three hundred eighteen million, six hundred thirty thousand, four hundred".