51768225600 has 504 divisors, whose sum is σ = 212782818528. Its totient is φ = 10921881600.

The previous prime is 51768225533. The next prime is 51768225611. The reversal of 51768225600 is 652286715.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3049135 + ... + 3066065.

It is an arithmetic number, because the mean of its divisors is an integer number (422188132).

Almost surely, 2^51768225600 is an apocalyptic number.

51768225600 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 51768225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106391409264).

51768225600 is an abundant number, since it is smaller than the sum of its proper divisors (161014592928).

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

51768225600 is a wasteful number, since it uses less digits than its factorization.

51768225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16983 (or 16961 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 51768225600 in words is "fifty-one billion, seven hundred sixty-eight million, two hundred twenty-five thousand, six hundred".