214272540000 has 360 divisors, whose sum is σ = 789647138280. Its totient is φ = 57138048000.

The previous prime is 214272539977. The next prime is 214272540017. The reversal of 214272540000 is 45272412.

214272540000 is a `hidden beast` number, since 214 + 27 + 25 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4837956 + ... + 4882044.

It is an arithmetic number, because the mean of its divisors is an integer number (2193464273).

Almost surely, 2^214272540000 is an apocalyptic number.

214272540000 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 214272540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394823569140).

214272540000 is an abundant number, since it is smaller than the sum of its proper divisors (575374598280).

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

214272540000 is an frugal number, since it uses more digits than its factorization.

214272540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44134 (or 44099 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 214272540000 in words is "two hundred fourteen billion, two hundred seventy-two million, five hundred forty thousand".