51277351600 has 240 divisors, whose sum is σ = 134658702720. Its totient is φ = 18690048000.

The previous prime is 51277351591. The next prime is 51277351637. The reversal of 51277351600 is 615377215.

51277351600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51277351600² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51277351600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28470700 + ... + 28472500.

It is an arithmetic number, because the mean of its divisors is an integer number (561077928).

Almost surely, 2^51277351600 is an apocalyptic number.

51277351600 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 51277351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67329351360).

51277351600 is an abundant number, since it is smaller than the sum of its proper divisors (83381351120).

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

51277351600 is a wasteful number, since it uses less digits than its factorization.

51277351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 51277351600 in words is "fifty-one billion, two hundred seventy-seven million, three hundred fifty-one thousand, six hundred".