51890160 has 160 divisors (see below), whose sum is σ = 186988032. Its totient is φ = 11658240.

The previous prime is 51890149. The next prime is 51890191. The reversal of 51890160 is 6109815.

51890160 = T₂₁₆ + T₂₁₇ + ... + T₆₈₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112330 + ... + 112790.

Almost surely, 2^51890160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016).

51890160 is an abundant number, since it is smaller than the sum of its proper divisors (135097872).

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

51890160 is a wasteful number, since it uses less digits than its factorization.

51890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 51890160 is about 7203.4824911289. The cubic root of 51890160 is about 372.9881233535.

Adding to 51890160 its reverse (6109815), we get a palindrome (57999975).

The spelling of 51890160 in words is "fifty-one million, eight hundred ninety thousand, one hundred sixty".