51025206240 has 288 divisors, whose sum is σ = 184634704800. Its totient is φ = 12787679232.

The previous prime is 51025206209. The next prime is 51025206241. The reversal of 51025206240 is 4260252015.

51025206240 is a `hidden beast` number, since 5 + 10 + 2 + 5 + 20 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51025206241) 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, 25678527 + ... + 25680513.

It is an arithmetic number, because the mean of its divisors is an integer number (641092725).

Almost surely, 2^51025206240 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 51025206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92317352400).

51025206240 is an abundant number, since it is smaller than the sum of its proper divisors (133609498560).

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

51025206240 is a wasteful number, since it uses less digits than its factorization.

51025206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51025206240 its reverse (4260252015), we get a palindrome (55285458255).

The spelling of 51025206240 in words is "fifty-one billion, twenty-five million, two hundred six thousand, two hundred forty".