21270788672000 has 480 divisors, whose sum is σ = 63134915088960. Its totient is φ = 7123195699200.

The previous prime is 21270788671999. The next prime is 21270788672011. The reversal of 21270788672000 is 27688707212.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 21270788672000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134769131 + ... + 134926869.

It is an arithmetic number, because the mean of its divisors is an integer number (131531073102).

Almost surely, 2^{21270788672000} is an apocalyptic number.

21270788672000 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 21270788672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31567457544480).

21270788672000 is an abundant number, since it is smaller than the sum of its proper divisors (41864126416960).

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

21270788672000 is an equidigital number, since it uses as much as digits as its factorization.

21270788672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157829 (or 157796 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 21270788672000 in words is "twenty-one trillion, two hundred seventy billion, seven hundred eighty-eight million, six hundred seventy-two thousand".