51406910334 has 320 divisors, whose sum is σ = 138259021824. Its totient is φ = 14115492864.

The previous prime is 51406910333. The next prime is 51406910363. The reversal of 51406910334 is 43301960415.

51406910334 is a `hidden beast` number, since 514 + 0 + 6 + 9 + 103 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51406910333) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134221507 + ... + 134221889.

Almost surely, 2^51406910334 is an apocalyptic number.

51406910334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51406910334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69129510912).

51406910334 is an abundant number, since it is smaller than the sum of its proper divisors (86852111490).

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

51406910334 is a wasteful number, since it uses less digits than its factorization.

51406910334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51406910334 in words is "fifty-one billion, four hundred six million, nine hundred ten thousand, three hundred thirty-four".