51399208800 has 288 divisors, whose sum is σ = 187989530400. Its totient is φ = 13551943680.

The previous prime is 51399208793. The next prime is 51399208801. The reversal of 51399208800 is 880299315.

It is a happy number.

51399208800 is a `hidden beast` number, since 51 + 399 + 208 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51399208801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909032 + ... + 1935768.

It is an arithmetic number, because the mean of its divisors is an integer number (652741425).

Almost surely, 2^51399208800 is an apocalyptic number.

51399208800 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 51399208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93994765200).

51399208800 is an abundant number, since it is smaller than the sum of its proper divisors (136590321600).

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

51399208800 is a wasteful number, since it uses less digits than its factorization.

51399208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26855 (or 26836 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 51399208800 in words is "fifty-one billion, three hundred ninety-nine million, two hundred eight thousand, eight hundred".