51393600 has 252 divisors, whose sum is σ = 189164976. Its totient is φ = 13224960.

The previous prime is 51393599. The next prime is 51393637. The reversal of 51393600 is 639315.

51393600 is a `hidden beast` number, since 51 + 3 + 9 + 3 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619159 + ... + 619241.

Almost surely, 2^51393600 is an apocalyptic number.

51393600 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 51393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94582488).

51393600 is an abundant number, since it is smaller than the sum of its proper divisors (137771376).

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

51393600 is a wasteful number, since it uses less digits than its factorization.

51393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 51393600 is about 7168.9329749970. The cubic root of 51393600 is about 371.7945448903.

The spelling of 51393600 in words is "fifty-one million, three hundred ninety-three thousand, six hundred".