51755040 has 144 divisors (see below), whose sum is σ = 178633728. Its totient is φ = 13644288.

The previous prime is 51755009. The next prime is 51755047. The reversal of 51755040 is 4055715.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 51754995 and 51755013.

It is not an unprimeable number, because it can be changed into a prime (51755047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182739 + ... + 183021.

It is an arithmetic number, because the mean of its divisors is an integer number (1240512).

Almost surely, 2^51755040 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 51755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316864).

51755040 is an abundant number, since it is smaller than the sum of its proper divisors (126878688).

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

51755040 is a wasteful number, since it uses less digits than its factorization.

51755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 51755040 is about 7194.0975806560. The cubic root of 51755040 is about 372.6640929813.

The spelling of 51755040 in words is "fifty-one million, seven hundred fifty-five thousand, forty".