51893913600 has 864 divisors, whose sum is σ = 199248809760. Its totient is φ = 13377208320.

The previous prime is 51893913529. The next prime is 51893913619. The reversal of 51893913600 is 631939815.

51893913600 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 39 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534988752 + ... + 534988848.

Almost surely, 2^51893913600 is an apocalyptic number.

51893913600 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 51893913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99624404880).

51893913600 is an abundant number, since it is smaller than the sum of its proper divisors (147354896160).

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

51893913600 is an equidigital number, since it uses as much as digits as its factorization.

51893913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 51893913600 in words is "fifty-one billion, eight hundred ninety-three million, nine hundred thirteen thousand, six hundred".