51107760 has 240 divisors, whose sum is σ = 194987520. Its totient is φ = 12337920.

The previous prime is 51107743. The next prime is 51107761. The reversal of 51107760 is 6770115.

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

It is a super-2 number, since 2×51107760² = 5224006264435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51107761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213721 + ... + 213959.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^51107760 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 51107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

51107760 is an abundant number, since it is smaller than the sum of its proper divisors (143879760).

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

51107760 is a wasteful number, since it uses less digits than its factorization.

51107760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 51107760 is about 7148.9691564589. The cubic root of 51107760 is about 371.1039829813.

Adding to 51107760 its reverse (6770115), we get a palindrome (57877875).

The spelling of 51107760 in words is "fifty-one million, one hundred seven thousand, seven hundred sixty".