213120195552 has 384 divisors, whose sum is σ = 686836039680. Its totient is φ = 63756564480.

The previous prime is 213120195539. The next prime is 213120195553. The reversal of 213120195552 is 255591021312.

213120195552 is a `hidden beast` number, since 2 + 1 + 3 + 12 + 0 + 1 + 95 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120195553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382621258 + ... + 382621814.

It is an arithmetic number, because the mean of its divisors is an integer number (1788635520).

Almost surely, 2^213120195552 is an apocalyptic number.

213120195552 is a gapful number since it is divisible by the number (22) 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 213120195552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343418019840).

213120195552 is an abundant number, since it is smaller than the sum of its proper divisors (473715844128).

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

213120195552 is a wasteful number, since it uses less digits than its factorization.

213120195552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 213120195552 in words is "two hundred thirteen billion, one hundred twenty million, one hundred ninety-five thousand, five hundred fifty-two".