21454032600 has 1536 divisors, whose sum is σ = 102493440000. Its totient is φ = 4115059200.

The previous prime is 21454032581. The next prime is 21454032601. The reversal of 21454032600 is 623045412.

21454032600 is a `hidden beast` number, since 2 + 1 + 4 + 54 + 0 + 3 + 2 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21454032601) 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 383 ways as a sum of consecutive naturals, for example, 1650310194 + ... + 1650310206.

It is an arithmetic number, because the mean of its divisors is an integer number (66727500).

Almost surely, 2^21454032600 is an apocalyptic number.

21454032600 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 21454032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720000).

21454032600 is an abundant number, since it is smaller than the sum of its proper divisors (81039407400).

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

21454032600 is a wasteful number, since it uses less digits than its factorization.

21454032600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 21454032600 in words is "twenty-one billion, four hundred fifty-four million, thirty-two thousand, six hundred".