213997289688 has 480 divisors, whose sum is σ = 785445867360. Its totient is φ = 53115678720.

The previous prime is 213997289659. The next prime is 213997289689. The reversal of 213997289688 is 886982799312.

213997289688 is a `hidden beast` number, since 2 + 1 + 399 + 72 + 8 + 96 + 88 = 666.

It is a super-2 number, since 2×213997289688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213997289689) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13023718 + ... + 13040138.

It is an arithmetic number, because the mean of its divisors is an integer number (1636345557).

Almost surely, 2^213997289688 is an apocalyptic number.

213997289688 is a gapful number since it is divisible by the number (28) 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 213997289688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392722933680).

213997289688 is an abundant number, since it is smaller than the sum of its proper divisors (571448577672).

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

213997289688 is a wasteful number, since it uses less digits than its factorization.

213997289688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16463 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 213997289688 in words is "two hundred thirteen billion, nine hundred ninety-seven million, two hundred eighty-nine thousand, six hundred eighty-eight".