51214300164 has 96 divisors (see below), whose sum is σ = 140910739200. Its totient is φ = 16030379520.

The previous prime is 51214300099. The next prime is 51214300171. The reversal of 51214300164 is 46100341215.

It is a happy number.

51214300164 is a `hidden beast` number, since 51 + 21 + 430 + 0 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774234 + ... + 837774.

It is an arithmetic number, because the mean of its divisors is an integer number (1467820200).

Almost surely, 2^51214300164 is an apocalyptic number.

51214300164 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 51214300164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70455369600).

51214300164 is an abundant number, since it is smaller than the sum of its proper divisors (89696439036).

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

51214300164 is a wasteful number, since it uses less digits than its factorization.

51214300164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64010 (or 64002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 51214300164 its reverse (46100341215), we get a palindrome (97314641379).

The spelling of 51214300164 in words is "fifty-one billion, two hundred fourteen million, three hundred thousand, one hundred sixty-four".