21420746600 has 192 divisors, whose sum is σ = 55322352000. Its totient is φ = 7648640000.

The previous prime is 21420746597. The next prime is 21420746603. The reversal of 21420746600 is 664702412.

It is an interprime number because it is at equal distance from previous prime (21420746597) and next prime (21420746603).

It is not an unprimeable number, because it can be changed into a prime (21420746603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33107477 + ... + 33108123.

It is an arithmetic number, because the mean of its divisors is an integer number (288137250).

Almost surely, 2^21420746600 is an apocalyptic number.

21420746600 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 21420746600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661176000).

21420746600 is an abundant number, since it is smaller than the sum of its proper divisors (33901605400).

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

21420746600 is a wasteful number, since it uses less digits than its factorization.

21420746600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 21420746600 in words is "twenty-one billion, four hundred twenty million, seven hundred forty-six thousand, six hundred".