21084462000 has 400 divisors, whose sum is σ = 87043125312. Its totient is φ = 4819046400.

The previous prime is 21084461999. The next prime is 21084462001. The reversal of 21084462000 is 26448012.

21084462000 is a `hidden beast` number, since 2 + 10 + 8 + 446 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21084461999) and next prime (21084462001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21084462001) 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 79 ways as a sum of consecutive naturals, for example, 1124704 + ... + 1143296.

Almost surely, 2^21084462000 is an apocalyptic number.

21084462000 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 21084462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43521562656).

21084462000 is an abundant number, since it is smaller than the sum of its proper divisors (65958663312).

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

21084462000 is a wasteful number, since it uses less digits than its factorization.

21084462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18635 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 21084462000 in words is "twenty-one billion, eighty-four million, four hundred sixty-two thousand".