51445958400 has 324 divisors, whose sum is σ = 191932850928. Its totient is φ = 13122109440.

The previous prime is 51445958383. The next prime is 51445958401. The reversal of 51445958400 is 485954415.

51445958400 is a `hidden beast` number, since 5 + 14 + 4 + 59 + 584 + 0 + 0 = 666.

It is a super-3 number, since 3×51445958400³ (a number of 33 digits) contains 333 as substring.

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 (51445958401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1305384 + ... + 1344216.

Almost surely, 2^51445958400 is an apocalyptic number.

51445958400 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 51445958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95966425464).

51445958400 is an abundant number, since it is smaller than the sum of its proper divisors (140486892528).

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

51445958400 is a wasteful number, since it uses less digits than its factorization.

51445958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38888 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 51445958400 in words is "fifty-one billion, four hundred forty-five million, nine hundred fifty-eight thousand, four hundred".