51609882240 has 320 divisors, whose sum is σ = 210639432960. Its totient is φ = 11796461568.

The previous prime is 51609882221. The next prime is 51609882257. The reversal of 51609882240 is 4228890615.

51609882240 is a `hidden beast` number, since 516 + 0 + 98 + 8 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291769 + ... + 433991.

It is an arithmetic number, because the mean of its divisors is an integer number (658248228).

Almost surely, 2^51609882240 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 51609882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105319716480).

51609882240 is an abundant number, since it is smaller than the sum of its proper divisors (159029550720).

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

51609882240 is a wasteful number, since it uses less digits than its factorization.

51609882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142261 (or 142240 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51609882240 in words is "fifty-one billion, six hundred nine million, eight hundred eighty-two thousand, two hundred forty".