21054889497600 has 1188 divisors, whose sum is σ = 88341054124284. Its totient is φ = 4777067151360.

The previous prime is 21054889497569. The next prime is 21054889497661. The reversal of 21054889497600 is 679498845012.

21054889497600 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 4 + 8 + 89 + 497 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4569470567424 + 16485418930176 = 2137632^2 + 4060224^2 .

It is a super-2 number, since 2×21054889497600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1546668394 + ... + 1546682006.

Almost surely, 2^{21054889497600} is an apocalyptic number.

21054889497600 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 21054889497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44170527062142).

21054889497600 is an abundant number, since it is smaller than the sum of its proper divisors (67286164626684).

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

21054889497600 is a wasteful number, since it uses less digits than its factorization.

21054889497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 21054889497600 in words is "twenty-one trillion, fifty-four billion, eight hundred eighty-nine million, four hundred ninety-seven thousand, six hundred".