213255659520 has 1120 divisors, whose sum is σ = 856372176000. Its totient is φ = 50451185664.

The previous prime is 213255659489. The next prime is 213255659521. The reversal of 213255659520 is 25956552312.

It is a happy number.

213255659520 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 5 + 56 + 595 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213255659521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1071636381 + ... + 1071636579.

Almost surely, 2^213255659520 is an apocalyptic number.

213255659520 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 213255659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428186088000).

213255659520 is an abundant number, since it is smaller than the sum of its proper divisors (643116516480).

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

213255659520 is a wasteful number, since it uses less digits than its factorization.

213255659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 213255659520 in words is "two hundred thirteen billion, two hundred fifty-five million, six hundred fifty-nine thousand, five hundred twenty".