272101294080 has 720 divisors, whose sum is σ = 1176252465024. Its totient is φ = 56528732160.

The previous prime is 272101294061. The next prime is 272101294169. The reversal of 272101294080 is 80492101272.

272101294080 is a `hidden beast` number, since 27 + 210 + 12 + 9 + 408 + 0 = 666.

272101294080 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×272101294080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56768164 + ... + 56772956.

Almost surely, 2^272101294080 is an apocalyptic number.

272101294080 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 272101294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588126232512).

272101294080 is an abundant number, since it is smaller than the sum of its proper divisors (904151170944).

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

272101294080 is a wasteful number, since it uses less digits than its factorization.

272101294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 272101294080 in words is "two hundred seventy-two billion, one hundred one million, two hundred ninety-four thousand, eighty".