51006323386368 has 2400 divisors, whose sum is σ = 195058416833280. Its totient is φ = 13273534955520.

The previous prime is 51006323386259. The next prime is 51006323386373. The reversal of 51006323386368 is 86368332360015.

It is a happy number.

51006323386368 is a `hidden beast` number, since 510 + 0 + 6 + 3 + 2 + 3 + 3 + 8 + 63 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1645365270513 + ... + 1645365270543.

Almost surely, 2^{51006323386368} 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 51006323386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97529208416640).

51006323386368 is an abundant number, since it is smaller than the sum of its proper divisors (144052093446912).

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

51006323386368 is an frugal number, since it uses more digits than its factorization.

51006323386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 51006323386368 in words is "fifty-one trillion, six billion, three hundred twenty-three million, three hundred eighty-six thousand, three hundred sixty-eight".