11823540300 has 576 divisors, whose sum is σ = 45217105920. Its totient is φ = 2612736000.

The previous prime is 11823540251. The next prime is 11823540349. The reversal of 11823540300 is 304532811.

It is a happy number.

11823540300 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 354 + 0 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (11823540251) and next prime (11823540349).

It is a super-2 number, since 2×11823540300² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 43629165 + ... + 43629435.

It is an arithmetic number, because the mean of its divisors is an integer number (78501920).

Almost surely, 2^11823540300 is an apocalyptic number.

11823540300 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 11823540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608552960).

11823540300 is an abundant number, since it is smaller than the sum of its proper divisors (33393565620).

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

11823540300 is a wasteful number, since it uses less digits than its factorization.

11823540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11823540300 in words is "eleven billion, eight hundred twenty-three million, five hundred forty thousand, three hundred".