213144049080 has 256 divisors, whose sum is σ = 753914304000. Its totient is φ = 53378279424.

The previous prime is 213144049033. The next prime is 213144049121. The reversal of 213144049080 is 80940441312.

It is a happy number.

213144049080 is a `hidden beast` number, since 2 + 131 + 440 + 4 + 9 + 0 + 80 = 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 63 ways as a sum of consecutive naturals, for example, 8561691 + ... + 8586549.

It is an arithmetic number, because the mean of its divisors is an integer number (2944977750).

Almost surely, 2^213144049080 is an apocalyptic number.

213144049080 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 213144049080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376957152000).

213144049080 is an abundant number, since it is smaller than the sum of its proper divisors (540770254920).

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

213144049080 is a wasteful number, since it uses less digits than its factorization.

213144049080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25363 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 213144049080 in words is "two hundred thirteen billion, one hundred forty-four million, forty-nine thousand, eighty".