51148800 has 288 divisors, whose sum is σ = 192956400. Its totient is φ = 13271040.

The previous prime is 51148793. The next prime is 51148807. The reversal of 51148800 is 884115.

It is an interprime number because it is at equal distance from previous prime (51148793) and next prime (51148807).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51148807) 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, 1382382 + ... + 1382418.

Almost surely, 2^51148800 is an apocalyptic number.

51148800 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 51148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

51148800 is an abundant number, since it is smaller than the sum of its proper divisors (141807600).

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

51148800 is a wasteful number, since it uses less digits than its factorization.

51148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51148800 is about 7151.8389243606. The cubic root of 51148800 is about 371.2032897053.

The spelling of 51148800 in words is "fifty-one million, one hundred forty-eight thousand, eight hundred".