51091444800 has 504 divisors, whose sum is σ = 202956822432. Its totient is φ = 12082176000.

The previous prime is 51091444787. The next prime is 51091444849. The reversal of 51091444800 is 844419015.

51091444800 is a `hidden beast` number, since 51 + 0 + 91 + 44 + 480 + 0 = 666.

It is a super-2 number, since 2×51091444800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6490467 + ... + 6498333.

It is an arithmetic number, because the mean of its divisors is an integer number (402692108).

Almost surely, 2^51091444800 is an apocalyptic number.

51091444800 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 51091444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101478411216).

51091444800 is an abundant number, since it is smaller than the sum of its proper divisors (151865377632).

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

51091444800 is a wasteful number, since it uses less digits than its factorization.

51091444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51091444800 in words is "fifty-one billion, ninety-one million, four hundred forty-four thousand, eight hundred".