10421865000 has 200 divisors, whose sum is σ = 36478331010. Its totient is φ = 2779056000.

The previous prime is 10421864987. The next prime is 10421865029. The reversal of 10421865000 is 56812401.

10421865000 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 8 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 250335684 + 10171529316 = 15822^2 + 100854^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 392134 + ... + 417866.

Almost surely, 2^10421865000 is an apocalyptic number.

10421865000 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 10421865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239165505).

10421865000 is an abundant number, since it is smaller than the sum of its proper divisors (26056466010).

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

10421865000 is an equidigital number, since it uses as much as digits as its factorization.

10421865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25771 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10421865000 in words is "ten billion, four hundred twenty-one million, eight hundred sixty-five thousand".