213914284080 has 320 divisors, whose sum is σ = 762947168256. Its totient is φ = 48568320000.

The previous prime is 213914284061. The next prime is 213914284091. The reversal of 213914284080 is 80482419312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209513970 + ... + 209514990.

Almost surely, 2^213914284080 is an apocalyptic number.

213914284080 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 213914284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381473584128).

213914284080 is an abundant number, since it is smaller than the sum of its proper divisors (549032884176).

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

213914284080 is a wasteful number, since it uses less digits than its factorization.

213914284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

It can be divided in two parts, 2139142 and 84080, that added together give a palindrome (2223222).

The spelling of 213914284080 in words is "two hundred thirteen billion, nine hundred fourteen million, two hundred eighty-four thousand, eighty".