51429522816 has 192 divisors, whose sum is σ = 179085422880. Its totient is φ = 13829750784.

The previous prime is 51429522797. The next prime is 51429522817. The reversal of 51429522816 is 61822592415.

51429522816 is a `hidden beast` number, since 5 + 1 + 42 + 9 + 522 + 81 + 6 = 666.

51429522816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×51429522816³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51429522817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50491 + ... + 324666.

Almost surely, 2^51429522816 is an apocalyptic number.

51429522816 is a gapful number since it is divisible by the number (56) 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 51429522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89542711440).

51429522816 is an abundant number, since it is smaller than the sum of its proper divisors (127655900064).

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

51429522816 is a wasteful number, since it uses less digits than its factorization.

51429522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375201 (or 375186 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 51429522816 in words is "fifty-one billion, four hundred twenty-nine million, five hundred twenty-two thousand, eight hundred sixteen".