270960402960 has 1600 divisors, whose sum is σ = 1135713976320. Its totient is φ = 59256852480.

The previous prime is 270960402931. The next prime is 270960402971. The reversal of 270960402960 is 69204069072.

270960402960 is a `hidden beast` number, since 2 + 70 + 96 + 0 + 402 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 319 ways as a sum of consecutive naturals, for example, 2133546417 + ... + 2133546543.

Almost surely, 2^270960402960 is an apocalyptic number.

270960402960 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 270960402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567856988160).

270960402960 is an abundant number, since it is smaller than the sum of its proper divisors (864753573360).

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

270960402960 is a wasteful number, since it uses less digits than its factorization.

270960402960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 270960402960 in words is "two hundred seventy billion, nine hundred sixty million, four hundred two thousand, nine hundred sixty".