213800378688 has 560 divisors, whose sum is σ = 735152362560. Its totient is φ = 60846391296.

The previous prime is 213800378663. The next prime is 213800378699. The reversal of 213800378688 is 886873008312.

213800378688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67592595 + ... + 67595757.

It is an arithmetic number, because the mean of its divisors is an integer number (1312772076).

Almost surely, 2^213800378688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213800378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367576181280).

213800378688 is an abundant number, since it is smaller than the sum of its proper divisors (521351983872).

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

213800378688 is a wasteful number, since it uses less digits than its factorization.

213800378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 213800378688 in words is "two hundred thirteen billion, eight hundred million, three hundred seventy-eight thousand, six hundred eighty-eight".