213379920000 has 1600 divisors, whose sum is σ = 910895139000. Its totient is φ = 49102848000.

The previous prime is 213379919989. The next prime is 213379920007. The reversal of 213379920000 is 29973312.

It can be written as a sum of positive squares in 20 ways, for example, as 139582937664 + 73796982336 = 373608^2 + 271656^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213379920007) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 1432079926 + ... + 1432080074.

Almost surely, 2^213379920000 is an apocalyptic number.

213379920000 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 213379920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455447569500).

213379920000 is an abundant number, since it is smaller than the sum of its proper divisors (697515219000).

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

213379920000 is a wasteful number, since it uses less digits than its factorization.

213379920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 213379920000 in words is "two hundred thirteen billion, three hundred seventy-nine million, nine hundred twenty thousand".