51893512164 has 192 divisors, whose sum is σ = 147872686080. Its totient is φ = 15837099264.

The previous prime is 51893512141. The next prime is 51893512243. The reversal of 51893512164 is 46121539815.

It is a happy number.

51893512164 is a `hidden beast` number, since 5 + 1 + 89 + 351 + 216 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14441152 + ... + 14444744.

It is an arithmetic number, because the mean of its divisors is an integer number (770170240).

Almost surely, 2^51893512164 is an apocalyptic number.

51893512164 is a gapful number since it is divisible by the number (54) 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 51893512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73936343040).

51893512164 is an abundant number, since it is smaller than the sum of its proper divisors (95979173916).

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

51893512164 is a wasteful number, since it uses less digits than its factorization.

51893512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3738 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 51893512164 in words is "fifty-one billion, eight hundred ninety-three million, five hundred twelve thousand, one hundred sixty-four".