214721280000 has 1200 divisors, whose sum is σ = 851359509000. Its totient is φ = 53747712000.

The previous prime is 214721279999. The next prime is 214721280023. The reversal of 214721280000 is 82127412.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×214721280000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 99 ways as a sum of consecutive naturals, for example, 1969919946 + ... + 1969920054.

Almost surely, 2^214721280000 is an apocalyptic number.

214721280000 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 214721280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425679754500).

214721280000 is an abundant number, since it is smaller than the sum of its proper divisors (636638229000).

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

214721280000 is an equidigital number, since it uses as much as digits as its factorization.

214721280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 214721280000 in words is "two hundred fourteen billion, seven hundred twenty-one million, two hundred eighty thousand".