21018898368000 has 960 divisors, whose sum is σ = 82081215216000. Its totient is φ = 5138885836800.

The previous prime is 21018898367927. The next prime is 21018898368007. The reversal of 21018898368000 is 86389881012.

21018898368000 is a `hidden beast` number, since 2 + 10 + 188 + 98 + 368 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018898368007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1115702581 + ... + 1115721419.

It is an arithmetic number, because the mean of its divisors is an integer number (85501265850).

Almost surely, 2^{21018898368000} is an apocalyptic number.

21018898368000 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 21018898368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040607608000).

21018898368000 is an abundant number, since it is smaller than the sum of its proper divisors (61062316848000).

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

21018898368000 is a wasteful number, since it uses less digits than its factorization.

21018898368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 21018898368000 in words is "twenty-one trillion, eighteen billion, eight hundred ninety-eight million, three hundred sixty-eight thousand".