51233450268 has 384 divisors, whose sum is σ = 171609145344. Its totient is φ = 11460556800.

The previous prime is 51233450251. The next prime is 51233450293. The reversal of 51233450268 is 86205433215.

It is a happy number.

51233450268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11325055 + ... + 11329577.

It is an arithmetic number, because the mean of its divisors is an integer number (446898816).

Almost surely, 2^51233450268 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 51233450268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85804572672).

51233450268 is an abundant number, since it is smaller than the sum of its proper divisors (120375695076).

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

51233450268 is a wasteful number, since it uses less digits than its factorization.

51233450268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

It can be divided in two parts, 51233 and 450268, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 51233450268 in words is "fifty-one billion, two hundred thirty-three million, four hundred fifty thousand, two hundred sixty-eight".