272867585440320 has 2352 divisors, whose sum is σ = 1127208706655040. Its totient is φ = 62671014641664.

The previous prime is 272867585440313. The next prime is 272867585440349. The reversal of 272867585440320 is 23044585768272.

It is a happy number.

272867585440320 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 6 + 7 + 58 + 544 + 0 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 50187156642 + ... + 50187162078.

Almost surely, 2^{272867585440320} is an apocalyptic number.

272867585440320 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 272867585440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563604353327520).

272867585440320 is an abundant number, since it is smaller than the sum of its proper divisors (854341121214720).

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

272867585440320 is a wasteful number, since it uses less digits than its factorization.

272867585440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 272867585440320 in words is "two hundred seventy-two trillion, eight hundred sixty-seven billion, five hundred eighty-five million, four hundred forty thousand, three hundred twenty".