213229999206400 has 624 divisors, whose sum is σ = 584697004425216. Its totient is φ = 77122805760000.

The previous prime is 213229999206397. The next prime is 213229999206431. The reversal of 213229999206400 is 4602999922312.

It is a super-2 number, since 2×213229999206400² (a number of 29 digits) contains 22 as substring.

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, 26032226305 + ... + 26032234495.

Almost surely, 2^{213229999206400} is an apocalyptic number.

213229999206400 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 213229999206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292348502212608).

213229999206400 is an abundant number, since it is smaller than the sum of its proper divisors (371467005218816).

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

213229999206400 is an equidigital number, since it uses as much as digits as its factorization.

213229999206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 213229999206400 in words is "two hundred thirteen trillion, two hundred twenty-nine billion, nine hundred ninety-nine million, two hundred six thousand, four hundred".