51006640264800 has 288 divisors, whose sum is σ = 182030111827200. Its totient is φ = 12303107942400.

The previous prime is 51006640264793. The next prime is 51006640264829. The reversal of 51006640264800 is 846204660015.

It is a super-2 number, since 2×51006640264800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399154 + ... + 10108046.

It is an arithmetic number, because the mean of its divisors is an integer number (632048999400).

Almost surely, 2^{51006640264800} is an apocalyptic number.

51006640264800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006640264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91015055913600).

51006640264800 is an abundant number, since it is smaller than the sum of its proper divisors (131023471562400).

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

51006640264800 is a wasteful number, since it uses less digits than its factorization.

51006640264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709126 (or 9709113 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 51006640264800 in words is "fifty-one trillion, six billion, six hundred forty million, two hundred sixty-four thousand, eight hundred".