10207384128 has 168 divisors, whose sum is σ = 30432816960. Its totient is φ = 3392202240.

The previous prime is 10207384111. The next prime is 10207384169. The reversal of 10207384128 is 82148370201.

10207384128 is a `hidden beast` number, since 1 + 0 + 207 + 38 + 412 + 8 = 666.

It is a super-3 number, since 3×10207384128³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10207384092 and 10207384101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6546613 + ... + 6548171.

It is an arithmetic number, because the mean of its divisors is an integer number (181147720).

Almost surely, 2^10207384128 is an apocalyptic number.

10207384128 is a gapful number since it is divisible by the number (18) 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 10207384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216408480).

10207384128 is an abundant number, since it is smaller than the sum of its proper divisors (20225432832).

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

10207384128 is an equidigital number, since it uses as much as digits as its factorization.

10207384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10207384128 in words is "ten billion, two hundred seven million, three hundred eighty-four thousand, one hundred twenty-eight".