51754560 has 336 divisors, whose sum is σ = 200802240. Its totient is φ = 11182080.

The previous prime is 51754543. The next prime is 51754561. The reversal of 51754560 is 6545715.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (51754561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784626 + ... + 1784654.

Almost surely, 2^51754560 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 51754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100401120).

51754560 is an abundant number, since it is smaller than the sum of its proper divisors (149047680).

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

51754560 is a wasteful number, since it uses less digits than its factorization.

51754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

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

The square root of 51754560 is about 7194.0642198968. The cubic root of 51754560 is about 372.6629408918.

The spelling of 51754560 in words is "fifty-one million, seven hundred fifty-four thousand, five hundred sixty".