21831006400 has 336 divisors, whose sum is σ = 63672313600. Its totient is φ = 7211151360.

The previous prime is 21831006343. The next prime is 21831006409. The reversal of 21831006400 is 460013812.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21831006409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57601411 + ... + 57601789.

Almost surely, 2^21831006400 is an apocalyptic number.

21831006400 is a gapful number since it is divisible by the number (20) 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 21831006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836156800).

21831006400 is an abundant number, since it is smaller than the sum of its proper divisors (41841307200).

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

21831006400 is a wasteful number, since it uses less digits than its factorization.

21831006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 21831006400 in words is "twenty-one billion, eight hundred thirty-one million, six thousand, four hundred".