51453456768 has 1024 divisors, whose sum is σ = 198033408000. Its totient is φ = 12809871360.

The previous prime is 51453456739. The next prime is 51453456773. The reversal of 51453456768 is 86765435415.

It is a happy number.

51453456768 is a `hidden beast` number, since 5 + 1 + 45 + 34 + 567 + 6 + 8 = 666.

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

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, 327728946 + ... + 327729102.

It is an arithmetic number, because the mean of its divisors is an integer number (193392000).

Almost surely, 2^51453456768 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 51453456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99016704000).

51453456768 is an abundant number, since it is smaller than the sum of its proper divisors (146579951232).

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

51453456768 is a wasteful number, since it uses less digits than its factorization.

51453456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 51453456768 in words is "fifty-one billion, four hundred fifty-three million, four hundred fifty-six thousand, seven hundred sixty-eight".