51719040 has 256 divisors, whose sum is σ = 190209600. Its totient is φ = 13271040.

The previous prime is 51719023. The next prime is 51719047. The reversal of 51719040 is 4091715.

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

It is a junction number, because it is equal to n+sod(n) for n = 51718995 and 51719013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51719047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708444 + ... + 708516.

Almost surely, 2^51719040 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 51719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95104800).

51719040 is an abundant number, since it is smaller than the sum of its proper divisors (138490560).

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

51719040 is a wasteful number, since it uses less digits than its factorization.

51719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51719040 is about 7191.5950942750. The cubic root of 51719040 is about 372.5776664923.

The spelling of 51719040 in words is "fifty-one million, seven hundred nineteen thousand, forty".