51858144 has 216 divisors, whose sum is σ = 173595240. Its totient is φ = 15116544.

The previous prime is 51858047. The next prime is 51858161. The reversal of 51858144 is 44185815.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51858099 and 51858108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2729367 + ... + 2729385.

Almost surely, 2^51858144 is an apocalyptic number.

51858144 is a gapful number since it is divisible by the number (54) 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 51858144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86797620).

51858144 is an abundant number, since it is smaller than the sum of its proper divisors (121737096).

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

51858144 is an equidigital number, since it uses as much as digits as its factorization.

51858144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 51858144 is about 7201.2598897693. The cubic root of 51858144 is about 372.9113968954.

The spelling of 51858144 in words is "fifty-one million, eight hundred fifty-eight thousand, one hundred forty-four".