213960189744 has 240 divisors, whose sum is σ = 717003775488. Its totient is φ = 60500514816.

The previous prime is 213960189739. The next prime is 213960189769. The reversal of 213960189744 is 447981069312.

213960189744 is a `hidden beast` number, since 2 + 1 + 396 + 0 + 189 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2599429 + ... + 2680475.

Almost surely, 2^213960189744 is an apocalyptic number.

213960189744 is a gapful number since it is divisible by the number (24) 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 213960189744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358501887744).

213960189744 is an abundant number, since it is smaller than the sum of its proper divisors (503043585744).

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

213960189744 is an equidigital number, since it uses as much as digits as its factorization.

213960189744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81174 (or 81156 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 213960189744 in words is "two hundred thirteen billion, nine hundred sixty million, one hundred eighty-nine thousand, seven hundred forty-four".