51093150114820 has 192 divisors, whose sum is σ = 126420993699840. Its totient is φ = 17149155161600.

The previous prime is 51093150114779. The next prime is 51093150114859. The reversal of 51093150114820 is 2841105139015.

It is a super-2 number, since 2×51093150114820² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265650009 + ... + 265842271.

It is an arithmetic number, because the mean of its divisors is an integer number (658442675520).

Almost surely, 2^{51093150114820} 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 51093150114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63210496849920).

51093150114820 is an abundant number, since it is smaller than the sum of its proper divisors (75327843585020).

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

51093150114820 is a wasteful number, since it uses less digits than its factorization.

51093150114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194146 (or 194144 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 51093150114820 in words is "fifty-one trillion, ninety-three billion, one hundred fifty million, one hundred fourteen thousand, eight hundred twenty".