51747150400 has 315 divisors, whose sum is σ = 143105953945. Its totient is φ = 18416780800.

The previous prime is 51747150373. The next prime is 51747150409. The reversal of 51747150400 is 405174715.

The square root of 51747150400 is 227480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18628974144 + 33118176256 = 136488^2 + 181984^2 .

It is not an unprimeable number, because it can be changed into a prime (51747150409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1101003177 + ... + 1101003223.

Almost surely, 2^51747150400 is an apocalyptic number.

51747150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51747150400 is the 227480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51747150400

51747150400 is an abundant number, since it is smaller than the sum of its proper divisors (91358803545).

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

51747150400 is an frugal number, since it uses more digits than its factorization.

51747150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The spelling of 51747150400 in words is "fifty-one billion, seven hundred forty-seven million, one hundred fifty thousand, four hundred".