11800476900 has 405 divisors, whose sum is σ = 41215376587. Its totient is φ = 2919974400.

The previous prime is 11800476881. The next prime is 11800476967. The reversal of 11800476900 is 967400811.

The square root of 11800476900 is 108630.

It is a perfect power (a square), and thus also a powerful number.

11800476900 is a `hidden beast` number, since 1 + 180 + 0 + 476 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276024996 + 11524451904 = 16614^2 + 107352^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×11800476900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 166203865 + ... + 166203935.

Almost surely, 2^11800476900 is an apocalyptic number.

11800476900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11800476900 is the 108630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11800476900

11800476900 is an abundant number, since it is smaller than the sum of its proper divisors (29414899687).

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

11800476900 is a wasteful number, since it uses less digits than its factorization.

11800476900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 11800476900 by its sum of digits (36), we get a square (424817168400 = 651780²).

11800476900 divided by its sum of digits (36) gives a square (327791025 = 18105²).

The spelling of 11800476900 in words is "eleven billion, eight hundred million, four hundred seventy-six thousand, nine hundred".