51268435293768 has 576 divisors, whose sum is σ = 172680867072000. Its totient is φ = 12603035047680.

The previous prime is 51268435293767. The next prime is 51268435293769. The reversal of 51268435293768 is 86739253486215.

It is an interprime number because it is at equal distance from previous prime (51268435293767) and next prime (51268435293769).

It is not an unprimeable number, because it can be changed into a prime (51268435293767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2873943393 + ... + 2873961231.

It is an arithmetic number, because the mean of its divisors is an integer number (299793172000).

Almost surely, 2^{51268435293768} 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 51268435293768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86340433536000).

51268435293768 is an abundant number, since it is smaller than the sum of its proper divisors (121412431778232).

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

51268435293768 is a wasteful number, since it uses less digits than its factorization.

51268435293768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18966 (or 18944 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 69.

The spelling of 51268435293768 in words is "fifty-one trillion, two hundred sixty-eight billion, four hundred thirty-five million, two hundred ninety-three thousand, seven hundred sixty-eight".