21485606400000 has 3120 divisors, whose sum is σ = 90309209715648. Its totient is φ = 5060689920000.

The previous prime is 21485606399963. The next prime is 21485606400107. The reversal of 21485606400000 is 460658412.

21485606400000 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 5 + 6 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 405388799974 + ... + 405388800026.

Almost surely, 2^{21485606400000} is an apocalyptic number.

21485606400000 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 21485606400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45154604857824).

21485606400000 is an abundant number, since it is smaller than the sum of its proper divisors (68823603315648).

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

21485606400000 is an frugal number, since it uses more digits than its factorization.

21485606400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21485606400000 in words is "twenty-one trillion, four hundred eighty-five billion, six hundred six million, four hundred thousand".