10421599104 has 768 divisors, whose sum is σ = 39070080000. Its totient is φ = 2717245440.

The previous prime is 10421599081. The next prime is 10421599129. The reversal of 10421599104 is 40199512401.

It is a happy number.

10421599104 is a `hidden beast` number, since 10 + 42 + 1 + 599 + 10 + 4 = 666.

10421599104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131918937 + ... + 131919015.

It is an arithmetic number, because the mean of its divisors is an integer number (50872500).

Almost surely, 2^10421599104 is an apocalyptic number.

10421599104 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 10421599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040000).

10421599104 is an abundant number, since it is smaller than the sum of its proper divisors (28648480896).

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

10421599104 is a wasteful number, since it uses less digits than its factorization.

10421599104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10421599104 in words is "ten billion, four hundred twenty-one million, five hundred ninety-nine thousand, one hundred four".