213041986560 has 528 divisors, whose sum is σ = 806326073280. Its totient is φ = 51692175360.

The previous prime is 213041986517. The next prime is 213041986621. The reversal of 213041986560 is 65689140312.

213041986560 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 1 + 9 + 86 + 560 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42529336 + ... + 42534344.

Almost surely, 2^213041986560 is an apocalyptic number.

213041986560 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 213041986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403163036640).

213041986560 is an abundant number, since it is smaller than the sum of its proper divisors (593284086720).

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

213041986560 is a wasteful number, since it uses less digits than its factorization.

213041986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 213041986560 in words is "two hundred thirteen billion, forty-one million, nine hundred eighty-six thousand, five hundred sixty".