51368763600 has 960 divisors, whose sum is σ = 229798625280. Its totient is φ = 10587801600.

The previous prime is 51368763571. The next prime is 51368763671. The reversal of 51368763600 is 636786315.

51368763600 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 8 + 7 + 636 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185446662 + ... + 185446938.

It is an arithmetic number, because the mean of its divisors is an integer number (239373568).

Almost surely, 2^51368763600 is an apocalyptic number.

51368763600 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 51368763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114899312640).

51368763600 is an abundant number, since it is smaller than the sum of its proper divisors (178429861680).

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

51368763600 is a wasteful number, since it uses less digits than its factorization.

51368763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 51368763600 in words is "fifty-one billion, three hundred sixty-eight million, seven hundred sixty-three thousand, six hundred".