214567080000 has 1120 divisors, whose sum is σ = 893159097600. Its totient is φ = 45158400000.

The previous prime is 214567079957. The next prime is 214567080011. The reversal of 214567080000 is 80765412.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 535079800 + ... + 535080200.

It is an arithmetic number, because the mean of its divisors is an integer number (797463480).

Almost surely, 2^214567080000 is an apocalyptic number.

214567080000 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 214567080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446579548800).

214567080000 is an abundant number, since it is smaller than the sum of its proper divisors (678592017600).

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

214567080000 is an equidigital number, since it uses as much as digits as its factorization.

214567080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 214567080000 in words is "two hundred fourteen billion, five hundred sixty-seven million, eighty thousand".