51779119104 has 480 divisors, whose sum is σ = 165820374720. Its totient is φ = 16057958400.

The previous prime is 51779119103. The next prime is 51779119157. The reversal of 51779119104 is 40191197715.

51779119104 is a `hidden beast` number, since 517 + 7 + 9 + 119 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51779119104.

It is not an unprimeable number, because it can be changed into a prime (51779119103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156432219 + ... + 156432549.

It is an arithmetic number, because the mean of its divisors is an integer number (345459114).

Almost surely, 2^51779119104 is an apocalyptic number.

51779119104 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 51779119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910187360).

51779119104 is an abundant number, since it is smaller than the sum of its proper divisors (114041255616).

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

51779119104 is a wasteful number, since it uses less digits than its factorization.

51779119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 45.

The spelling of 51779119104 in words is "fifty-one billion, seven hundred seventy-nine million, one hundred nineteen thousand, one hundred four".