51916800 has 234 divisors, whose sum is σ = 185870172. Its totient is φ = 12779520.

The previous prime is 51916763. The next prime is 51916801. The reversal of 51916800 is 861915.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51916801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3993594 + ... + 3993606.

Almost surely, 2^51916800 is an apocalyptic number.

51916800 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 51916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92935086).

51916800 is an abundant number, since it is smaller than the sum of its proper divisors (133953372).

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

51916800 is a wasteful number, since it uses less digits than its factorization.

51916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 51916800 is about 7205.3313594865. The cubic root of 51916800 is about 373.0519421563.

The spelling of 51916800 in words is "fifty-one million, nine hundred sixteen thousand, eight hundred".