51911200 has 144 divisors (see below), whose sum is σ = 146803104. Its totient is φ = 17715200.

The previous prime is 51911129. The next prime is 51911213. The reversal of 51911200 is 211915.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149427 + ... + 149773.

It is an arithmetic number, because the mean of its divisors is an integer number (1019466).

Almost surely, 2^51911200 is an apocalyptic number.

51911200 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 51911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401552).

51911200 is an abundant number, since it is smaller than the sum of its proper divisors (94891904).

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

51911200 is a wasteful number, since it uses less digits than its factorization.

51911200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 51911200 is about 7204.9427478641. The cubic root of 51911200 is about 373.0385286050.

The spelling of 51911200 in words is "fifty-one million, nine hundred eleven thousand, two hundred".