213929027424 has 672 divisors, whose sum is σ = 765756149760. Its totient is φ = 57602430720.

The previous prime is 213929027381. The next prime is 213929027489. The reversal of 213929027424 is 424720929312.

213929027424 is a `hidden beast` number, since 2 + 139 + 2 + 90 + 2 + 7 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 213929027424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1120047169 + ... + 1120047359.

It is an arithmetic number, because the mean of its divisors is an integer number (1139518080).

Almost surely, 2^213929027424 is an apocalyptic number.

213929027424 is a gapful number since it is divisible by the number (24) 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 213929027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382878074880).

213929027424 is an abundant number, since it is smaller than the sum of its proper divisors (551827122336).

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

213929027424 is an frugal number, since it uses more digits than its factorization.

213929027424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213929027424 in words is "two hundred thirteen billion, nine hundred twenty-nine million, twenty-seven thousand, four hundred twenty-four".