10035664128 has 720 divisors, whose sum is σ = 37395388800. Its totient is φ = 2666151936.

The previous prime is 10035664103. The next prime is 10035664153. The reversal of 10035664128 is 82146653001.

It is a happy number.

10035664128 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 6 + 641 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10035664103) and next prime (10035664153).

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 = 10035664092 and 10035664101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120911575 + ... + 120911657.

It is an arithmetic number, because the mean of its divisors is an integer number (51938040).

Almost surely, 2^10035664128 is an apocalyptic number.

10035664128 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 10035664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697694400).

10035664128 is an abundant number, since it is smaller than the sum of its proper divisors (27359724672).

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

10035664128 is an frugal number, since it uses more digits than its factorization.

10035664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10035664128 in words is "ten billion, thirty-five million, six hundred sixty-four thousand, one hundred twenty-eight".