51192777168 has 320 divisors, whose sum is σ = 162057127680. Its totient is φ = 15375439872.

The previous prime is 51192777157. The next prime is 51192777169. The reversal of 51192777168 is 86177729115.

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 (51192777169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87210571 + ... + 87211157.

It is an arithmetic number, because the mean of its divisors is an integer number (506428524).

Almost surely, 2^51192777168 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 51192777168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81028563840).

51192777168 is an abundant number, since it is smaller than the sum of its proper divisors (110864350512).

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

51192777168 is a wasteful number, since it uses less digits than its factorization.

51192777168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 54.

The spelling of 51192777168 in words is "fifty-one billion, one hundred ninety-two million, seven hundred seventy-seven thousand, one hundred sixty-eight".