51580800 has 240 divisors, whose sum is σ = 191301000. Its totient is φ = 13685760.

The previous prime is 51580799. The next prime is 51580811. The reversal of 51580800 is 808515.

51580800 is a `hidden beast` number, since 5 + 1 + 580 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259101 + ... + 259299.

Almost surely, 2^51580800 is an apocalyptic number.

51580800 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 51580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95650500).

51580800 is an abundant number, since it is smaller than the sum of its proper divisors (139720200).

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

51580800 is a wasteful number, since it uses less digits than its factorization.

51580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 51580800 is about 7181.9774435736. The cubic root of 51580800 is about 372.2454155824.

The spelling of 51580800 in words is "fifty-one million, five hundred eighty thousand, eight hundred".