10015385328000 has 1536 divisors, whose sum is σ = 40586636563200. Its totient is φ = 2348354764800.

The previous prime is 10015385327999. The next prime is 10015385328043. The reversal of 10015385328000 is 82358351001.

10015385328000 is a `hidden beast` number, since 1 + 0 + 0 + 15 + 38 + 532 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19676591746 + ... + 19676592254.

Almost surely, 2^{10015385328000} is an apocalyptic number.

10015385328000 is a gapful number since it is divisible by the number (10) 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 10015385328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293318281600).

10015385328000 is an abundant number, since it is smaller than the sum of its proper divisors (30571251235200).

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

10015385328000 is a wasteful number, since it uses less digits than its factorization.

10015385328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10015385328000 in words is "ten trillion, fifteen billion, three hundred eighty-five million, three hundred twenty-eight thousand".