51286800 has 120 divisors (see below), whose sum is σ = 166675840. Its totient is φ = 13478400.

The previous prime is 51286799. The next prime is 51286801. The reversal of 51286800 is 868215.

It is an interprime number because it is at equal distance from previous prime (51286799) and next prime (51286801).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (51286801) 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, 94530 + ... + 95070.

Almost surely, 2^51286800 is an apocalyptic number.

51286800 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 51286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83337920).

51286800 is an abundant number, since it is smaller than the sum of its proper divisors (115389040).

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

51286800 is a wasteful number, since it uses less digits than its factorization.

51286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 51286800 is about 7161.4802939057. The cubic root of 51286800 is about 371.5368267152.

The spelling of 51286800 in words is "fifty-one million, two hundred eighty-six thousand, eight hundred".