51780945600 has 336 divisors, whose sum is σ = 189500093440. Its totient is φ = 13754188800.

The previous prime is 51780945577. The next prime is 51780945607. The reversal of 51780945600 is 654908715.

51780945600 is a `hidden beast` number, since 5 + 1 + 7 + 80 + 9 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51780945607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11704989 + ... + 11709411.

Almost surely, 2^51780945600 is an apocalyptic number.

51780945600 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 51780945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94750046720).

51780945600 is an abundant number, since it is smaller than the sum of its proper divisors (137719147840).

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

51780945600 is a wasteful number, since it uses less digits than its factorization.

51780945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 51780945600 in words is "fifty-one billion, seven hundred eighty million, nine hundred forty-five thousand, six hundred".