213685330882560 has 832 divisors, whose sum is σ = 743867816939520. Its totient is φ = 52174934507520.

The previous prime is 213685330882519. The next prime is 213685330882571. The reversal of 213685330882560 is 65288033586312.

It is a super-2 number, since 2×213685330882560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 213685330882494 and 213685330882503.

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, 31737012954 + ... + 31737019686.

It is an arithmetic number, because the mean of its divisors is an integer number (894071895360).

Almost surely, 2^{213685330882560} is an apocalyptic number.

213685330882560 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 213685330882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371933908469760).

213685330882560 is an abundant number, since it is smaller than the sum of its proper divisors (530182486056960).

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

213685330882560 is a wasteful number, since it uses less digits than its factorization.

213685330882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 213685330882560 in words is "two hundred thirteen trillion, six hundred eighty-five billion, three hundred thirty million, eight hundred eighty-two thousand, five hundred sixty".