273126421713600 has 4032 divisors, whose sum is σ = 1327402860779520. Its totient is φ = 53960314060800.

The previous prime is 273126421713571. The next prime is 273126421713647. The reversal of 273126421713600 is 6317124621372.

It is a happy number.

273126421713600 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 2 + 6 + 4 + 21 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 98708499417 + ... + 98708502183.

It is an arithmetic number, because the mean of its divisors is an integer number (329216979360).

Almost surely, 2^{273126421713600} is an apocalyptic number.

273126421713600 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 273126421713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663701430389760).

273126421713600 is an abundant number, since it is smaller than the sum of its proper divisors (1054276439065920).

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

273126421713600 is a wasteful number, since it uses less digits than its factorization.

273126421713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 273126421713600 in words is "two hundred seventy-three trillion, one hundred twenty-six billion, four hundred twenty-one million, seven hundred thirteen thousand, six hundred".