213384035555600 has 240 divisors, whose sum is σ = 635776683104640. Its totient is φ = 67017012940800.

The previous prime is 213384035555563. The next prime is 213384035555681. The reversal of 213384035555600 is 6555530483312.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17606405 + ... + 27143204.

It is an arithmetic number, because the mean of its divisors is an integer number (2649069512936).

Almost surely, 2^{213384035555600} is an apocalyptic number.

213384035555600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213384035555600 is an abundant number, since it is smaller than the sum of its proper divisors (422392647549040).

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

213384035555600 is a wasteful number, since it uses less digits than its factorization.

213384035555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44749778 (or 44749767 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 50.

The spelling of 213384035555600 in words is "two hundred thirteen trillion, three hundred eighty-four billion, thirty-five million, five hundred fifty-five thousand, six hundred".