213102259968 has 144 divisors (see below), whose sum is σ = 631853298720. Its totient is φ = 63308808192.

The previous prime is 213102259963. The next prime is 213102259987. The reversal of 213102259968 is 869952201312.

It is a happy number.

It is a super-2 number, since 2×213102259968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102259963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78471 + ... + 657542.

It is an arithmetic number, because the mean of its divisors is an integer number (4387870130).

Almost surely, 2^213102259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213102259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315926649360).

213102259968 is an abundant number, since it is smaller than the sum of its proper divisors (418751038752).

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

213102259968 is a wasteful number, since it uses less digits than its factorization.

213102259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736074 (or 736060 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 213102259968 in words is "two hundred thirteen billion, one hundred two million, two hundred fifty-nine thousand, nine hundred sixty-eight".