214182060960 has 384 divisors, whose sum is σ = 807648952320. Its totient is φ = 46648774656.

The previous prime is 214182060919. The next prime is 214182061001. The reversal of 214182060960 is 69060281412.

It is an interprime number because it is at equal distance from previous prime (214182060919) and next prime (214182061001).

It is a super-2 number, since 2×214182060960² (a number of 23 digits) contains 22 as substring.

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, 20783169 + ... + 20793471.

It is an arithmetic number, because the mean of its divisors is an integer number (2103252480).

Almost surely, 2^214182060960 is an apocalyptic number.

214182060960 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 214182060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403824476160).

214182060960 is an abundant number, since it is smaller than the sum of its proper divisors (593466891360).

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

214182060960 is a wasteful number, since it uses less digits than its factorization.

214182060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 214182060960 in words is "two hundred fourteen billion, one hundred eighty-two million, sixty thousand, nine hundred sixty".