51110400 has 240 divisors, whose sum is σ = 185711328. Its totient is φ = 12390400.

The previous prime is 51110363. The next prime is 51110401. The reversal of 51110400 is 401115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51110400² = 5224545976320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (51110401) 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, 4646395 + ... + 4646405.

Almost surely, 2^51110400 is an apocalyptic number.

51110400 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 51110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92855664).

51110400 is an abundant number, since it is smaller than the sum of its proper divisors (134600928).

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

51110400 is an equidigital number, since it uses as much as digits as its factorization.

51110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 51110400 is about 7149.1537960796. The cubic root of 51110400 is about 371.1103727328.

Adding to 51110400 its reverse (401115), we get a palindrome (51511515).

The spelling of 51110400 in words is "fifty-one million, one hundred ten thousand, four hundred".