51375693600 has 432 divisors, whose sum is σ = 225868668480. Its totient is φ = 10675353600.

The previous prime is 51375693581. The next prime is 51375693613. The reversal of 51375693600 is 639657315.

51375693600 is a `hidden beast` number, since 5 + 1 + 37 + 5 + 6 + 9 + 3 + 600 = 666.

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

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, 508066 + ... + 600734.

It is an arithmetic number, because the mean of its divisors is an integer number (522844140).

Almost surely, 2^51375693600 is an apocalyptic number.

51375693600 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 51375693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112934334240).

51375693600 is an abundant number, since it is smaller than the sum of its proper divisors (174492974880).

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

51375693600 is a wasteful number, since it uses less digits than its factorization.

51375693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92713 (or 92697 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 51375693600 in words is "fifty-one billion, three hundred seventy-five million, six hundred ninety-three thousand, six hundred".