21030086400 has 216 divisors, whose sum is σ = 70385745024. Its totient is φ = 5528678400.

The previous prime is 21030086393. The next prime is 21030086443. The reversal of 21030086400 is 468003012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1355487 + ... + 1370913.

Almost surely, 2^21030086400 is an apocalyptic number.

21030086400 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 21030086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35192872512).

21030086400 is an abundant number, since it is smaller than the sum of its proper divisors (49355658624).

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

21030086400 is a wasteful number, since it uses less digits than its factorization.

21030086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21030086400 its reverse (468003012), we get a palindrome (21498089412).

The spelling of 21030086400 in words is "twenty-one billion, thirty million, eighty-six thousand, four hundred".