51066400 has 144 divisors (see below), whose sum is σ = 155615040. Its totient is φ = 15897600.

The previous prime is 51066397. The next prime is 51066403. The reversal of 51066400 is 466015.

It is an interprime number because it is at equal distance from previous prime (51066397) and next prime (51066403).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (51066403) 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, 61186 + ... + 62014.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^51066400 is an apocalyptic number.

51066400 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 51066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77807520).

51066400 is an abundant number, since it is smaller than the sum of its proper divisors (104548640).

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

51066400 is a wasteful number, since it uses less digits than its factorization.

51066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51066400 is about 7146.0758462250. The cubic root of 51066400 is about 371.0038481352.

The spelling of 51066400 in words is "fifty-one million, sixty-six thousand, four hundred".