21168006272000 has 1408 divisors, whose sum is σ = 64614403276800. Its totient is φ = 6909235200000.

The previous prime is 21168006271981. The next prime is 21168006272089. The reversal of 21168006272000 is 27260086112.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140185471925 + ... + 140185472075.

Almost surely, 2^{21168006272000} is an apocalyptic number.

21168006272000 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 21168006272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307201638400).

21168006272000 is an abundant number, since it is smaller than the sum of its proper divisors (43446397004800).

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

21168006272000 is a wasteful number, since it uses less digits than its factorization.

21168006272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 21168006272000 in words is "twenty-one trillion, one hundred sixty-eight billion, six million, two hundred seventy-two thousand".