51427065600 has 648 divisors, whose sum is σ = 192634670592. Its totient is φ = 13073817600.

The previous prime is 51427065587. The next prime is 51427065637. The reversal of 51427065600 is 656072415.

It is a happy number.

51427065600 is a `hidden beast` number, since 5 + 1 + 42 + 7 + 0 + 6 + 5 + 600 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148204627 + ... + 148204973.

Almost surely, 2^51427065600 is an apocalyptic number.

51427065600 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 51427065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96317335296).

51427065600 is an abundant number, since it is smaller than the sum of its proper divisors (141207604992).

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

51427065600 is a wasteful number, since it uses less digits than its factorization.

51427065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51427065600 in words is "fifty-one billion, four hundred twenty-seven million, sixty-five thousand, six hundred".