213985555056 has 480 divisors, whose sum is σ = 780022297600. Its totient is φ = 56431178496.

The previous prime is 213985555019. The next prime is 213985555057. The reversal of 213985555056 is 650555589312.

It is a happy number.

213985555056 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 85 + 5 + 550 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213985554993 and 213985555011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213985555057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17330421 + ... + 17342763.

Almost surely, 2^213985555056 is an apocalyptic number.

213985555056 is a gapful number since it is divisible by the number (26) 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 213985555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390011148800).

213985555056 is an abundant number, since it is smaller than the sum of its proper divisors (566036742544).

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

213985555056 is a wasteful number, since it uses less digits than its factorization.

213985555056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12400 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 213985555056 in words is "two hundred thirteen billion, nine hundred eighty-five million, five hundred fifty-five thousand, fifty-six".