213186669120 has 112 divisors (see below), whose sum is σ = 752075224320. Its totient is φ = 56849776128.

The previous prime is 213186669107. The next prime is 213186669149. The reversal of 213186669120 is 21966681312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12328552 + ... + 12345831.

It is an arithmetic number, because the mean of its divisors is an integer number (6714957360).

Almost surely, 2^213186669120 is an apocalyptic number.

213186669120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213186669120 is an abundant number, since it is smaller than the sum of its proper divisors (538888555200).

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

213186669120 is a wasteful number, since it uses less digits than its factorization.

213186669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24674409 (or 24674393 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 213186669120 in words is "two hundred thirteen billion, one hundred eighty-six million, six hundred sixty-nine thousand, one hundred twenty".