42799953168 has 360 divisors, whose sum is σ = 148033393560. Its totient is φ = 11470233600.

The previous prime is 42799953149. The next prime is 42799953173. The reversal of 42799953168 is 86135999724.

42799953168 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 99 + 531 + 6 + 8 = 666.

42799953168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26775431424 + 16024521744 = 163632^2 + 126588^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61055218 + ... + 61055918.

It is an arithmetic number, because the mean of its divisors is an integer number (411203871).

Almost surely, 2^42799953168 is an apocalyptic number.

42799953168 is a gapful number since it is divisible by the number (48) 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 42799953168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74016696780).

42799953168 is an abundant number, since it is smaller than the sum of its proper divisors (105233440392).

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

42799953168 is a wasteful number, since it uses less digits than its factorization.

42799953168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 42799953168 in words is "forty-two billion, seven hundred ninety-nine million, nine hundred fifty-three thousand, one hundred sixty-eight".