10159369920 has 840 divisors, whose sum is σ = 44356538160. Its totient is φ = 2194698240.

The previous prime is 10159369919. The next prime is 10159369933. The reversal of 10159369920 is 2996395101.

It is a happy number.

10159369920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131310 + ... + 24131730.

Almost surely, 2^10159369920 is an apocalyptic number.

10159369920 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 10159369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178269080).

10159369920 is an abundant number, since it is smaller than the sum of its proper divisors (34197168240).

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

10159369920 is a wasteful number, since it uses less digits than its factorization.

10159369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10159369920 in words is "ten billion, one hundred fifty-nine million, three hundred sixty-nine thousand, nine hundred twenty".