213704075520 has 1008 divisors, whose sum is σ = 840733501440. Its totient is φ = 51705298944.

The previous prime is 213704075509. The next prime is 213704075527. The reversal of 213704075520 is 25570407312.

213704075520 is a `hidden beast` number, since 21 + 3 + 7 + 0 + 40 + 75 + 520 = 666.

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 (213704075527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 958314129 + ... + 958314351.

Almost surely, 2^213704075520 is an apocalyptic number.

213704075520 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 213704075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420366750720).

213704075520 is an abundant number, since it is smaller than the sum of its proper divisors (627029425920).

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

213704075520 is an equidigital number, since it uses as much as digits as its factorization.

213704075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 213704075520 in words is "two hundred thirteen billion, seven hundred four million, seventy-five thousand, five hundred twenty".