196562635150752 has 480 divisors, whose sum is σ = 627003297320400. Its totient is φ = 60048854876160.

The previous prime is 196562635150747. The next prime is 196562635150807. The reversal of 196562635150752 is 257051536265691.

196562635150752 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 6 + 2 + 63 + 515 + 0 + 7 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86588905859856 + 109973729290896 = 9305316^2 + 10486836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 196562635150752.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13821991002 + ... + 13822005222.

Almost surely, 2^{196562635150752} is an apocalyptic number.

196562635150752 is a gapful number since it is divisible by the number (12) 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 196562635150752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313501648660200).

196562635150752 is an abundant number, since it is smaller than the sum of its proper divisors (430440662169648).

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

196562635150752 is a wasteful number, since it uses less digits than its factorization.

196562635150752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 196562635150752 in words is "one hundred ninety-six trillion, five hundred sixty-two billion, six hundred thirty-five million, one hundred fifty thousand, seven hundred fifty-two".