51116400 has 120 divisors (see below), whose sum is σ = 181974960. Its totient is φ = 13628160.

The previous prime is 51116393. The next prime is 51116407. The reversal of 51116400 is 461115.

It is an interprime number because it is at equal distance from previous prime (51116393) and next prime (51116407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51116400² = 5225772697920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51116407) 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, 8434 + ... + 13166.

It is an arithmetic number, because the mean of its divisors is an integer number (1516458).

Almost surely, 2^51116400 is an apocalyptic number.

51116400 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 51116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90987480).

51116400 is an abundant number, since it is smaller than the sum of its proper divisors (130858560).

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

51116400 is a wasteful number, since it uses less digits than its factorization.

51116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51116400 is about 7149.5734138478. The cubic root of 51116400 is about 371.1248940768.

Adding to 51116400 its reverse (461115), we get a palindrome (51577515).

It can be divided in two parts, 5111 and 6400, that added together give a palindrome (11511).

The spelling of 51116400 in words is "fifty-one million, one hundred sixteen thousand, four hundred".