51538800 has 120 divisors (see below), whose sum is σ = 170904240. Its totient is φ = 13260800.

The previous prime is 51538789. The next prime is 51538813. The reversal of 51538800 is 883515.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34060 + ... + 35540.

It is an arithmetic number, because the mean of its divisors is an integer number (1424202).

Almost surely, 2^51538800 is an apocalyptic number.

51538800 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 51538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85452120).

51538800 is an abundant number, since it is smaller than the sum of its proper divisors (119365440).

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

51538800 is a wasteful number, since it uses less digits than its factorization.

51538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 51538800 is about 7179.0528623210. The cubic root of 51538800 is about 372.1443537350.

The spelling of 51538800 in words is "fifty-one million, five hundred thirty-eight thousand, eight hundred".