207396016128 has 312 divisors, whose sum is σ = 686432011200. Its totient is φ = 59102134272.

The previous prime is 207396016103. The next prime is 207396016129. The reversal of 207396016128 is 821610693702.

207396016128 is a `hidden beast` number, since 2 + 0 + 7 + 39 + 601 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×207396016128² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (207396016129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131345643 + ... + 131347221.

It is an arithmetic number, because the mean of its divisors is an integer number (2200102600).

Almost surely, 2^207396016128 is an apocalyptic number.

207396016128 is a gapful number since it is divisible by the number (28) 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 207396016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343216005600).

207396016128 is an abundant number, since it is smaller than the sum of its proper divisors (479035995072).

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

207396016128 is a wasteful number, since it uses less digits than its factorization.

207396016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 207396016128 in words is "two hundred seven billion, three hundred ninety-six million, sixteen thousand, one hundred twenty-eight".