11873399808400 has 405 divisors, whose sum is σ = 32060949895611. Its totient is φ = 4223589027840.

The previous prime is 11873399808307. The next prime is 11873399808401. The reversal of 11873399808400 is 480899337811.

The square root of 11873399808400 is 3445780.

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

It can be written as a sum of positive squares in 40 ways, for example, as 11757026037904 + 116373770496 = 3428852^2 + 341136^2 .

It is a super-2 number, since 2×11873399808400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11873399808401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25981180972 + ... + 25981181428.

Almost surely, 2^{11873399808400} is an apocalyptic number.

11873399808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11873399808400 is the 3445780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11873399808400

11873399808400 is an abundant number, since it is smaller than the sum of its proper divisors (20187550087211).

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

11873399808400 is an equidigital number, since it uses as much as digits as its factorization.

11873399808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 11873399808400 in words is "eleven trillion, eight hundred seventy-three billion, three hundred ninety-nine million, eight hundred eight thousand, four hundred".