213161814720 has 336 divisors, whose sum is σ = 788206947840. Its totient is φ = 52704995328.

The previous prime is 213161814713. The next prime is 213161814727. The reversal of 213161814720 is 27418161312.

213161814720 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 6 + 181 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213161814713) and next prime (213161814727).

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

It is not an unprimeable number, because it can be changed into a prime (213161814727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2530399 + ... + 2613281.

Almost surely, 2^213161814720 is an apocalyptic number.

213161814720 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 213161814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394103473920).

213161814720 is an abundant number, since it is smaller than the sum of its proper divisors (575045133120).

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

213161814720 is a wasteful number, since it uses less digits than its factorization.

213161814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82972 (or 82959 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 213161814720 in words is "two hundred thirteen billion, one hundred sixty-one million, eight hundred fourteen thousand, seven hundred twenty".