10159828715520 has 1152 divisors, whose sum is σ = 39399167283840. Its totient is φ = 2400583680000.

The previous prime is 10159828715503. The next prime is 10159828715551. The reversal of 10159828715520 is 2551782895101.

10159828715520 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 9 + 8 + 2 + 87 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6860113180 + ... + 6860114660.

It is an arithmetic number, because the mean of its divisors is an integer number (34200666045).

Almost surely, 2^{10159828715520} is an apocalyptic number.

10159828715520 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 10159828715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699583641920).

10159828715520 is an abundant number, since it is smaller than the sum of its proper divisors (29239338568320).

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

10159828715520 is a wasteful number, since it uses less digits than its factorization.

10159828715520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 54.

The spelling of 10159828715520 in words is "ten trillion, one hundred fifty-nine billion, eight hundred twenty-eight million, seven hundred fifteen thousand, five hundred twenty".