213628993920 has 256 divisors, whose sum is σ = 766184832000. Its totient is φ = 56246261760.

The previous prime is 213628993843. The next prime is 213628993927. The reversal of 213628993920 is 29399826312.

213628993920 is a `hidden beast` number, since 2 + 1 + 3 + 628 + 9 + 9 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213628993927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1286875 + ... + 1443365.

It is an arithmetic number, because the mean of its divisors is an integer number (2992909500).

Almost surely, 2^213628993920 is an apocalyptic number.

213628993920 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 213628993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383092416000).

213628993920 is an abundant number, since it is smaller than the sum of its proper divisors (552555838080).

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

213628993920 is a wasteful number, since it uses less digits than its factorization.

213628993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156598 (or 156580 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 213628993920 in words is "two hundred thirteen billion, six hundred twenty-eight million, nine hundred ninety-three thousand, nine hundred twenty".