10421822880 has 576 divisors, whose sum is σ = 42598483200. Its totient is φ = 2356936704.

The previous prime is 10421822863. The next prime is 10421822899. The reversal of 10421822880 is 8822812401.

10421822880 is a `hidden beast` number, since 1 + 0 + 421 + 8 + 228 + 8 + 0 = 666.

It is a super-2 number, since 2×10421822880² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40551712 + ... + 40551968.

It is an arithmetic number, because the mean of its divisors is an integer number (73955700).

Almost surely, 2^10421822880 is an apocalyptic number.

10421822880 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 10421822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299241600).

10421822880 is an abundant number, since it is smaller than the sum of its proper divisors (32176660320).

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

10421822880 is a wasteful number, since it uses less digits than its factorization.

10421822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10421822880 in words is "ten billion, four hundred twenty-one million, eight hundred twenty-two thousand, eight hundred eighty".