213804926720 has 1152 divisors, whose sum is σ = 723360153600. Its totient is φ = 58525286400.

The previous prime is 213804926659. The next prime is 213804926723. The reversal of 213804926720 is 27629408312.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213804926723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1683503297 + ... + 1683503423.

It is an arithmetic number, because the mean of its divisors is an integer number (627916800).

Almost surely, 2^213804926720 is an apocalyptic number.

213804926720 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 213804926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361680076800).

213804926720 is an abundant number, since it is smaller than the sum of its proper divisors (509555226880).

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

213804926720 is a wasteful number, since it uses less digits than its factorization.

213804926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 213804926720 in words is "two hundred thirteen billion, eight hundred four million, nine hundred twenty-six thousand, seven hundred twenty".