270913056480 has 1296 divisors, whose sum is σ = 1105591621680. Its totient is φ = 60326830080.

The previous prime is 270913056451. The next prime is 270913056493. The reversal of 270913056480 is 84650319072.

270913056480 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 1 + 3 + 0 + 564 + 80 = 666.

270913056480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3711137724 + ... + 3711137796.

It is an arithmetic number, because the mean of its divisors is an integer number (853079955).

It is a 1-persistent number, because it is pandigital, but 2⋅270913056480 = 541826112960 is not.

Almost surely, 2^270913056480 is an apocalyptic number.

270913056480 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 270913056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552795810840).

270913056480 is an abundant number, since it is smaller than the sum of its proper divisors (834678565200).

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

270913056480 is a wasteful number, since it uses less digits than its factorization.

270913056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 270913056480 in words is "two hundred seventy billion, nine hundred thirteen million, fifty-six thousand, four hundred eighty".