51914177856 has 784 divisors, whose sum is σ = 176600906640. Its totient is φ = 15049359360.

The previous prime is 51914177851. The next prime is 51914177857. The reversal of 51914177856 is 65877141915.

51914177856 is a `hidden beast` number, since 519 + 1 + 4 + 1 + 7 + 78 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 377913600 + 51536264256 = 19440^2 + 227016^2 .

It is a super-3 number, since 3×51914177856³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51914177851) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 851052066 + ... + 851052126.

Almost surely, 2^51914177856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51914177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300453320).

51914177856 is an abundant number, since it is smaller than the sum of its proper divisors (124686728784).

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

51914177856 is a wasteful number, since it uses less digits than its factorization.

51914177856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 51914177856 in words is "fifty-one billion, nine hundred fourteen million, one hundred seventy-seven thousand, eight hundred fifty-six".