51057923616 has 336 divisors, whose sum is σ = 173828761344. Its totient is φ = 14453655552.

The previous prime is 51057923599. The next prime is 51057923617. The reversal of 51057923616 is 61632975015.

51057923616 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 7 + 9 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (51057923617) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18451065 + ... + 18453831.

It is an arithmetic number, because the mean of its divisors is an integer number (517347504).

Almost surely, 2^51057923616 is an apocalyptic number.

51057923616 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 51057923616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914380672).

51057923616 is an abundant number, since it is smaller than the sum of its proper divisors (122770837728).

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

51057923616 is a wasteful number, since it uses less digits than its factorization.

51057923616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 51057923616 in words is "fifty-one billion, fifty-seven million, nine hundred twenty-three thousand, six hundred sixteen".