273706351865856 has 4680 divisors, whose sum is σ = 1140359313223680. Its totient is φ = 63857441636352.

The previous prime is 273706351865809. The next prime is 273706351865857. The reversal of 273706351865856 is 658568153607372.

273706351865856 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 0 + 6 + 3 + 518 + 6 + 58 + 56 = 666.

It is a super-2 number, since 2×273706351865856² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (273706351865857) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2155168124865 + ... + 2155168124991.

Almost surely, 2^{273706351865856} is an apocalyptic number.

273706351865856 is a gapful number since it is divisible by the number (26) 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 273706351865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570179656611840).

273706351865856 is an abundant number, since it is smaller than the sum of its proper divisors (866652961357824).

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

273706351865856 is a wasteful number, since it uses less digits than its factorization.

273706351865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 273706351865856 in words is "two hundred seventy-three trillion, seven hundred six billion, three hundred fifty-one million, eight hundred sixty-five thousand, eight hundred fifty-six".