10421884000 has 192 divisors, whose sum is σ = 29579764032. Its totient is φ = 3566592000.

The previous prime is 10421883973. The next prime is 10421884001. The reversal of 10421884000 is 48812401.

It is a super-2 number, since 2×10421884000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10421884000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421884001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741034 + ... + 754966.

It is an arithmetic number, because the mean of its divisors is an integer number (154061271).

Almost surely, 2^10421884000 is an apocalyptic number.

10421884000 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 10421884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789882016).

10421884000 is an abundant number, since it is smaller than the sum of its proper divisors (19157880032).

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

10421884000 is a wasteful number, since it uses less digits than its factorization.

10421884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 10421884000 in words is "ten billion, four hundred twenty-one million, eight hundred eighty-four thousand".