272994166310400 has 720 divisors, whose sum is σ = 1035415242576000. Its totient is φ = 68451564257280.

The previous prime is 272994166310363. The next prime is 272994166310413. The reversal of 272994166310400 is 4013661499272.

272994166310400 is a `hidden beast` number, since 2 + 72 + 9 + 9 + 4 + 166 + 3 + 1 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2093464401 + ... + 2093594799.

It is an arithmetic number, because the mean of its divisors is an integer number (1438076725800).

Almost surely, 2^{272994166310400} is an apocalyptic number.

272994166310400 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 272994166310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517707621288000).

272994166310400 is an abundant number, since it is smaller than the sum of its proper divisors (762421076265600).

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

272994166310400 is a wasteful number, since it uses less digits than its factorization.

272994166310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131519 (or 131495 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 272994166310400 in words is "two hundred seventy-two trillion, nine hundred ninety-four billion, one hundred sixty-six million, three hundred ten thousand, four hundred".