10128069504 has 576 divisors, whose sum is σ = 36732852000. Its totient is φ = 2662539264.

The previous prime is 10128069493. The next prime is 10128069509. The reversal of 10128069504 is 40596082101.

10128069504 is a `hidden beast` number, since 1 + 0 + 12 + 80 + 69 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128069509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37650682 + ... + 37650950.

Almost surely, 2^10128069504 is an apocalyptic number.

10128069504 is a gapful number since it is divisible by the number (14) 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 10128069504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366426000).

10128069504 is an abundant number, since it is smaller than the sum of its proper divisors (26604782496).

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

10128069504 is a wasteful number, since it uses less digits than its factorization.

10128069504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10128069504 in words is "ten billion, one hundred twenty-eight million, sixty-nine thousand, five hundred four".