11316204900 has 1152 divisors, whose sum is σ = 50396774400. Its totient is φ = 2102630400.

The previous prime is 11316204883. The next prime is 11316204917. The reversal of 11316204900 is 940261311.

11316204900 is a `hidden beast` number, since 1 + 1 + 31 + 620 + 4 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11316204883) and next prime (11316204917).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143243061 + ... + 143243139.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200).

Almost surely, 2^11316204900 is an apocalyptic number.

11316204900 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 11316204900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

11316204900 is an abundant number, since it is smaller than the sum of its proper divisors (39080569500).

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

11316204900 is a wasteful number, since it uses less digits than its factorization.

11316204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11316204900 in words is "eleven billion, three hundred sixteen million, two hundred four thousand, nine hundred".