213352409920 has 224 divisors, whose sum is σ = 587482834176. Its totient is φ = 73096396800.

The previous prime is 213352409911. The next prime is 213352409953. The reversal of 213352409920 is 29904253312.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999875 + ... + 5042365.

It is an arithmetic number, because the mean of its divisors is an integer number (2622691224).

Almost surely, 2^213352409920 is an apocalyptic number.

213352409920 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 213352409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293741417088).

213352409920 is an abundant number, since it is smaller than the sum of its proper divisors (374130424256).

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

213352409920 is a wasteful number, since it uses less digits than its factorization.

213352409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42609 (or 42599 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 213352409920 in words is "two hundred thirteen billion, three hundred fifty-two million, four hundred nine thousand, nine hundred twenty".