214272092160 has 864 divisors, whose sum is σ = 901870744320. Its totient is φ = 46824357888.

The previous prime is 214272092107. The next prime is 214272092171. The reversal of 214272092160 is 61290272412.

214272092160 is a `hidden beast` number, since 2 + 1 + 427 + 209 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103863289 + ... + 103865351.

It is an arithmetic number, because the mean of its divisors is an integer number (1043831880).

Almost surely, 2^214272092160 is an apocalyptic number.

214272092160 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 214272092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450935372160).

214272092160 is an abundant number, since it is smaller than the sum of its proper divisors (687598652160).

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

214272092160 is a wasteful number, since it uses less digits than its factorization.

214272092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 214272092160 in words is "two hundred fourteen billion, two hundred seventy-two million, ninety-two thousand, one hundred sixty".