270806389920 has 288 divisors, whose sum is σ = 1012169680704. Its totient is φ = 65387520000.

The previous prime is 270806389837. The next prime is 270806390009. The reversal of 270806389920 is 29983608072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×270806389920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3941784 + ... + 4009896.

It is an arithmetic number, because the mean of its divisors is an integer number (3514478058).

Almost surely, 2^270806389920 is an apocalyptic number.

270806389920 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 270806389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506084840352).

270806389920 is an abundant number, since it is smaller than the sum of its proper divisors (741363290784).

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

270806389920 is a wasteful number, since it uses less digits than its factorization.

270806389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68396 (or 68385 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 270806389920 in words is "two hundred seventy billion, eight hundred six million, three hundred eighty-nine thousand, nine hundred twenty".