51759200 has 144 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 18923520.

The previous prime is 51759199. The next prime is 51759209. The reversal of 51759200 is 295715.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51759209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533552 + ... + 533648.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^51759200 is an apocalyptic number.

51759200 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 51759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

51759200 is an abundant number, since it is smaller than the sum of its proper divisors (86044480).

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

51759200 is a wasteful number, since it uses less digits than its factorization.

51759200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 51759200 is about 7194.3867007550. The cubic root of 51759200 is about 372.6740774588.

It can be divided in two parts, 5175 and 9200, that multiplied together give a square (47610000 = 6900²).

The spelling of 51759200 in words is "fifty-one million, seven hundred fifty-nine thousand, two hundred".