51540350400 has 2016 divisors, whose sum is σ = 249049202688. Its totient is φ = 9792921600.

The previous prime is 51540350383. The next prime is 51540350401. The reversal of 51540350400 is 405304515.

51540350400 is a `hidden beast` number, since 5 + 154 + 0 + 3 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51540350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1096603177 + ... + 1096603223.

Almost surely, 2^51540350400 is an apocalyptic number.

51540350400 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 51540350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124524601344).

51540350400 is an abundant number, since it is smaller than the sum of its proper divisors (197508852288).

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

51540350400 is a wasteful number, since it uses less digits than its factorization.

51540350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 51540350400 its reverse (405304515), we get a palindrome (51945654915).

The spelling of 51540350400 in words is "fifty-one billion, five hundred forty million, three hundred fifty thousand, four hundred".