270878607360 has 288 divisors, whose sum is σ = 956547348120. Its totient is φ = 70870106112.

The previous prime is 270878607323. The next prime is 270878607379. The reversal of 270878607360 is 63706878072.

270878607360 is a `hidden beast` number, since 27 + 0 + 8 + 7 + 8 + 607 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151240098816 + 119638508544 = 388896^2 + 345888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 270878607297 and 270878607306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4856752 + ... + 4912208.

Almost surely, 2^270878607360 is an apocalyptic number.

270878607360 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 270878607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478273674060).

270878607360 is an abundant number, since it is smaller than the sum of its proper divisors (685668740760).

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

270878607360 is a wasteful number, since it uses less digits than its factorization.

270878607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55543 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 270878607360 in words is "two hundred seventy billion, eight hundred seventy-eight million, six hundred seven thousand, three hundred sixty".