792163171312128 has 1280 divisors, whose sum is σ = 3176596684800000. Its totient is φ = 188639240601600.

The previous prime is 792163171312127. The next prime is 792163171312187. The reversal of 792163171312128 is 821213171361297.

792163171312128 is a `hidden beast` number, since 7 + 9 + 2 + 1 + 6 + 317 + 1 + 312 + 1 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (792163171312127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626328123 + ... + 627591621.

It is an arithmetic number, because the mean of its divisors is an integer number (2481716160000).

Almost surely, 2^{792163171312128} 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 792163171312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588298342400000).

792163171312128 is an abundant number, since it is smaller than the sum of its proper divisors (2384433513487872).

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

792163171312128 is a wasteful number, since it uses less digits than its factorization.

792163171312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263594 (or 1263572 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 792163171312128 in words is "seven hundred ninety-two trillion, one hundred sixty-three billion, one hundred seventy-one million, three hundred twelve thousand, one hundred twenty-eight".