213088574160 has 480 divisors, whose sum is σ = 905536899072. Its totient is φ = 43616517120.

The previous prime is 213088574137. The next prime is 213088574173. The reversal of 213088574160 is 61475880312.

213088574160 is a `hidden beast` number, since 2 + 13 + 0 + 8 + 8 + 574 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3685797 + ... + 3743163.

Almost surely, 2^213088574160 is an apocalyptic number.

213088574160 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 213088574160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452768449536).

213088574160 is an abundant number, since it is smaller than the sum of its proper divisors (692448324912).

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

213088574160 is a wasteful number, since it uses less digits than its factorization.

213088574160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57471 (or 57462 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 213088574160 in words is "two hundred thirteen billion, eighty-eight million, five hundred seventy-four thousand, one hundred sixty".