51759400 has 96 divisors (see below), whose sum is σ = 150079680. Its totient is φ = 16128000.

The previous prime is 51759397. The next prime is 51759427. The reversal of 51759400 is 495715.

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 23 ways as a sum of consecutive naturals, for example, 13720 + ... + 17080.

It is an arithmetic number, because the mean of its divisors is an integer number (1563330).

Almost surely, 2^51759400 is an apocalyptic number.

51759400 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 51759400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75039840).

51759400 is an abundant number, since it is smaller than the sum of its proper divisors (98320280).

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

51759400 is a wasteful number, since it uses less digits than its factorization.

51759400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 51759400 is about 7194.4006004670. The cubic root of 51759400 is about 372.6745574682.

The spelling of 51759400 in words is "fifty-one million, seven hundred fifty-nine thousand, four hundred".