51823411200 has 960 divisors, whose sum is σ = 212390022240. Its totient is φ = 12386304000.

The previous prime is 51823411177. The next prime is 51823411223. The reversal of 51823411200 is 211432815.

51823411200 is a `hidden beast` number, since 518 + 2 + 34 + 112 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51823411177) and next prime (51823411223).

It is a tau number, because it is divible by the number of its divisors (960).

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 59 ways as a sum of consecutive naturals, for example, 729907165 + ... + 729907235.

Almost surely, 2^51823411200 is an apocalyptic number.

51823411200 is a gapful number since it is divisible by the number (50) 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 51823411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106195011120).

51823411200 is an abundant number, since it is smaller than the sum of its proper divisors (160566611040).

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

51823411200 is an equidigital number, since it uses as much as digits as its factorization.

51823411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 51823411200 in words is "fifty-one billion, eight hundred twenty-three million, four hundred eleven thousand, two hundred".