11872482300 has 648 divisors, whose sum is σ = 45985369248. Its totient is φ = 2506982400.

The previous prime is 11872482257. The next prime is 11872482301. The reversal of 11872482300 is 328427811.

11872482300 is a `hidden beast` number, since 1 + 187 + 248 + 230 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872482301) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 224009074 + ... + 224009126.

It is an arithmetic number, because the mean of its divisors is an integer number (70965076).

Almost surely, 2^11872482300 is an apocalyptic number.

11872482300 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 11872482300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992684624).

11872482300 is an abundant number, since it is smaller than the sum of its proper divisors (34112886948).

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

11872482300 is a wasteful number, since it uses less digits than its factorization.

11872482300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11872482300 in words is "eleven billion, eight hundred seventy-two million, four hundred eighty-two thousand, three hundred".