51364800 has 336 divisors, whose sum is σ = 198424800. Its totient is φ = 12902400.

The previous prime is 51364793. The next prime is 51364801. The reversal of 51364800 is 846315.

51364800 is a `hidden beast` number, since 5 + 13 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51364801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252780 + ... + 1252820.

It is an arithmetic number, because the mean of its divisors is an integer number (590550).

Almost surely, 2^51364800 is an apocalyptic number.

51364800 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 51364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212400).

51364800 is an abundant number, since it is smaller than the sum of its proper divisors (147060000).

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

51364800 is a wasteful number, since it uses less digits than its factorization.

51364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51364800 is about 7166.9240263868. The cubic root of 51364800 is about 371.7250830400.

The spelling of 51364800 in words is "fifty-one million, three hundred sixty-four thousand, eight hundred".