270152249760 has 240 divisors, whose sum is σ = 956866951656. Its totient is φ = 71779571712.

The previous prime is 270152249723. The next prime is 270152249779. The reversal of 270152249760 is 67942251072.

270152249760 is a `hidden beast` number, since 2 + 7 + 0 + 152 + 2 + 497 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199240820496 + 70911429264 = 446364^2 + 266292^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3552294 + ... + 3627546.

Almost surely, 2^270152249760 is an apocalyptic number.

270152249760 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 270152249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478433475828).

270152249760 is an abundant number, since it is smaller than the sum of its proper divisors (686714701896).

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

270152249760 is a wasteful number, since it uses less digits than its factorization.

270152249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75557 (or 75540 counting only the distinct ones).

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

The spelling of 270152249760 in words is "two hundred seventy billion, one hundred fifty-two million, two hundred forty-nine thousand, seven hundred sixty".