213353535254600 has 384 divisors, whose sum is σ = 559000332105600. Its totient is φ = 75218579251200.

The previous prime is 213353535254599. The next prime is 213353535254627. The reversal of 213353535254600 is 6452535353312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1111531436 + ... + 1111723364.

It is an arithmetic number, because the mean of its divisors is an integer number (1455730031525).

Almost surely, 2^{213353535254600} is an apocalyptic number.

213353535254600 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 213353535254600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279500166052800).

213353535254600 is an abundant number, since it is smaller than the sum of its proper divisors (345646796851000).

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

213353535254600 is a wasteful number, since it uses less digits than its factorization.

213353535254600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192225 (or 192216 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 47.

The spelling of 213353535254600 in words is "two hundred thirteen trillion, three hundred fifty-three billion, five hundred thirty-five million, two hundred fifty-four thousand, six hundred".