51037440854400 has 13824 divisors, whose sum is σ = 297585078336000. Its totient is φ = 8427641241600.

The previous prime is 51037440854377. The next prime is 51037440854459. The reversal of 51037440854400 is 445804473015.

51037440854400 is a `hidden beast` number, since 510 + 3 + 7 + 4 + 40 + 8 + 54 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 1727 ways as a sum of consecutive naturals, for example, 1759911753586 + ... + 1759911753614.

It is an arithmetic number, because the mean of its divisors is an integer number (21526698375).

Almost surely, 2^{51037440854400} is an apocalyptic number.

51037440854400 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 51037440854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148792539168000).

51037440854400 is an abundant number, since it is smaller than the sum of its proper divisors (246547637481600).

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

51037440854400 is a wasteful number, since it uses less digits than its factorization.

51037440854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 51037440854400 in words is "fifty-one trillion, thirty-seven billion, four hundred forty million, eight hundred fifty-four thousand, four hundred".