270850096742400 has 2160 divisors, whose sum is σ = 1176365330300160. Its totient is φ = 58188732825600.

The previous prime is 270850096742363. The next prime is 270850096742413. The reversal of 270850096742400 is 4247690058072.

270850096742400 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 500 + 96 + 7 + 4 + 2 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64228145092 + ... + 64228149308.

Almost surely, 2^{270850096742400} is an apocalyptic number.

270850096742400 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 270850096742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588182665150080).

270850096742400 is an abundant number, since it is smaller than the sum of its proper divisors (905515233557760).

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

270850096742400 is a wasteful number, since it uses less digits than its factorization.

270850096742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 270850096742400 in words is "two hundred seventy trillion, eight hundred fifty billion, ninety-six million, seven hundred forty-two thousand, four hundred".