51427742400 has 840 divisors, whose sum is σ = 200855787264. Its totient is φ = 12933043200.

The previous prime is 51427742381. The next prime is 51427742419. The reversal of 51427742400 is 424772415.

51427742400 is a `hidden beast` number, since 5 + 142 + 77 + 42 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (51427742381) and next prime (51427742419).

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

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 119 ways as a sum of consecutive naturals, for example, 724334365 + ... + 724334435.

Almost surely, 2^51427742400 is an apocalyptic number.

51427742400 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 51427742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100427893632).

51427742400 is an abundant number, since it is smaller than the sum of its proper divisors (149428044864).

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

51427742400 is an frugal number, since it uses more digits than its factorization.

51427742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 51427742400 in words is "fifty-one billion, four hundred twenty-seven million, seven hundred forty-two thousand, four hundred".