213838913433600 has 9360 divisors, whose sum is σ = 1093927745095680. Its totient is φ = 40246286745600.

The previous prime is 213838913433499. The next prime is 213838913433617. The reversal of 213838913433600 is 6334319838312.

213838913433600 is a `hidden beast` number, since 2 + 1 + 38 + 38 + 91 + 3 + 433 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9360).

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 (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5779430092782 + ... + 5779430092818.

Almost surely, 2^{213838913433600} is an apocalyptic number.

213838913433600 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 213838913433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546963872547840).

213838913433600 is an abundant number, since it is smaller than the sum of its proper divisors (880088831662080).

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

213838913433600 is a wasteful number, since it uses less digits than its factorization.

213838913433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 213838913433600 in words is "two hundred thirteen trillion, eight hundred thirty-eight billion, nine hundred thirteen million, four hundred thirty-three thousand, six hundred".