51652800 has 252 divisors, whose sum is σ = 195306696. Its totient is φ = 12902400.

The previous prime is 51652781. The next prime is 51652801. The reversal of 51652800 is 825615.

51652800 is a `hidden beast` number, since 5 + 1 + 652 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (51652801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244695 + ... + 244905.

Almost surely, 2^51652800 is an apocalyptic number.

51652800 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 51652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97653348).

51652800 is an abundant number, since it is smaller than the sum of its proper divisors (143653896).

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

51652800 is a wasteful number, since it uses less digits than its factorization.

51652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

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

The square root of 51652800 is about 7186.9882426507. The cubic root of 51652800 is about 372.4185369057.

The spelling of 51652800 in words is "fifty-one million, six hundred fifty-two thousand, eight hundred".