213950854080 has 336 divisors, whose sum is σ = 743148120000. Its totient is φ = 56494817280.

The previous prime is 213950854079. The next prime is 213950854087. The reversal of 213950854080 is 80458059312.

213950854080 is a `hidden beast` number, since 2 + 13 + 9 + 508 + 54 + 0 + 80 = 666.

213950854080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213950854080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213950854087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138121146 + ... + 138122694.

Almost surely, 2^213950854080 is an apocalyptic number.

213950854080 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 213950854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371574060000).

213950854080 is an abundant number, since it is smaller than the sum of its proper divisors (529197265920).

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

213950854080 is a wasteful number, since it uses less digits than its factorization.

213950854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 213950854080 in words is "two hundred thirteen billion, nine hundred fifty million, eight hundred fifty-four thousand, eighty".