213352513920 has 2048 divisors, whose sum is σ = 1010612736000. Its totient is φ = 41278242816.

The previous prime is 213352513889. The next prime is 213352513949. The reversal of 213352513920 is 29315253312.

213352513920 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 52 + 513 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1105453344 + ... + 1105453536.

It is an arithmetic number, because the mean of its divisors is an integer number (493463250).

Almost surely, 2^213352513920 is an apocalyptic number.

213352513920 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 213352513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505306368000).

213352513920 is an abundant number, since it is smaller than the sum of its proper divisors (797260222080).

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

213352513920 is a wasteful number, since it uses less digits than its factorization.

213352513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 213352513920 in words is "two hundred thirteen billion, three hundred fifty-two million, five hundred thirteen thousand, nine hundred twenty".