213779520000 has 800 divisors, whose sum is σ = 801519681600. Its totient is φ = 56236032000.

The previous prime is 213779519963. The next prime is 213779520001. The reversal of 213779520000 is 25977312.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is not an unprimeable number, because it can be changed into a prime (213779520001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 941759887 + ... + 941760113.

It is an arithmetic number, because the mean of its divisors is an integer number (1001899602).

Almost surely, 2^213779520000 is an apocalyptic number.

213779520000 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 213779520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400759840800).

213779520000 is an abundant number, since it is smaller than the sum of its proper divisors (587740161600).

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

213779520000 is an equidigital number, since it uses as much as digits as its factorization.

213779520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 213779520000 in words is "two hundred thirteen billion, seven hundred seventy-nine million, five hundred twenty thousand".