51545760 has 288 divisors, whose sum is σ = 200672640. Its totient is φ = 10881024.

The previous prime is 51545729. The next prime is 51545761. The reversal of 51545760 is 6754515.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51545761) 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, 1777426 + ... + 1777454.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^51545760 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 51545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336320).

51545760 is an abundant number, since it is smaller than the sum of its proper divisors (149126880).

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

51545760 is a wasteful number, since it uses less digits than its factorization.

51545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 51545760 is about 7179.5375895666. The cubic root of 51545760 is about 372.1611049212.

The spelling of 51545760 in words is "fifty-one million, five hundred forty-five thousand, seven hundred sixty".