51108568842240 has 1920 divisors, whose sum is σ = 230890395402240. Its totient is φ = 10434222489600.

The previous prime is 51108568842217. The next prime is 51108568842269. The reversal of 51108568842240 is 4224886580115.

It is a happy number.

51108568842240 is a `hidden beast` number, since 5 + 1 + 10 + 8 + 568 + 8 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×51108568842240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6239596545 + ... + 6239604735.

It is an arithmetic number, because the mean of its divisors is an integer number (120255414272).

Almost surely, 2^{51108568842240} 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 51108568842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115445197701120).

51108568842240 is an abundant number, since it is smaller than the sum of its proper divisors (179781826560000).

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

51108568842240 is a wasteful number, since it uses less digits than its factorization.

51108568842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 51108568842240 in words is "fifty-one trillion, one hundred eight billion, five hundred sixty-eight million, eight hundred forty-two thousand, two hundred forty".