21376328198400 has 756 divisors, whose sum is σ = 90661097651712. Its totient is φ = 4886010408960.

The previous prime is 21376328198387. The next prime is 21376328198431. The reversal of 21376328198400 is 489182367312.

It is a happy number.

21376328198400 is a `hidden beast` number, since 2 + 1 + 3 + 76 + 3 + 2 + 81 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83 ways as a sum of consecutive naturals, for example, 32331937 + ... + 32986463.

Almost surely, 2^{21376328198400} is an apocalyptic number.

21376328198400 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 21376328198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45330548825856).

21376328198400 is an abundant number, since it is smaller than the sum of its proper divisors (69284769453312).

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

21376328198400 is an frugal number, since it uses more digits than its factorization.

21376328198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654578 (or 654544 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21376328198400 in words is "twenty-one trillion, three hundred seventy-six billion, three hundred twenty-eight million, one hundred ninety-eight thousand, four hundred".