51256800 has 360 divisors, whose sum is σ = 215517456. Its totient is φ = 11612160.

The previous prime is 51256789. The next prime is 51256823. The reversal of 51256800 is 865215.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 453544 + ... + 453656.

Almost surely, 2^51256800 is an apocalyptic number.

51256800 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 51256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

51256800 is an abundant number, since it is smaller than the sum of its proper divisors (164260656).

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

51256800 is a wasteful number, since it uses less digits than its factorization.

51256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51256800 is about 7159.3854484865. The cubic root of 51256800 is about 371.4643696125.

The spelling of 51256800 in words is "fifty-one million, two hundred fifty-six thousand, eight hundred".