270126657216 has 448 divisors, whose sum is σ = 897409228800. Its totient is φ = 79103692800.

The previous prime is 270126657211. The next prime is 270126657223. The reversal of 270126657216 is 612756621072.

270126657216 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 2 + 66 + 572 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (270126657211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42476245 + ... + 42482603.

It is an arithmetic number, because the mean of its divisors is an integer number (2003145600).

Almost surely, 2^270126657216 is an apocalyptic number.

270126657216 is a gapful number since it is divisible by the number (26) 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 270126657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448704614400).

270126657216 is an abundant number, since it is smaller than the sum of its proper divisors (627282571584).

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

270126657216 is a wasteful number, since it uses less digits than its factorization.

270126657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 270126657216 in words is "two hundred seventy billion, one hundred twenty-six million, six hundred fifty-seven thousand, two hundred sixteen".