275338727801856 has 704 divisors, whose sum is σ = 856853636984320. Its totient is φ = 87250452480000.

The previous prime is 275338727801843. The next prime is 275338727801857. The reversal of 275338727801856 is 658108727833572.

275338727801856 is a `hidden beast` number, since 2 + 7 + 5 + 338 + 7 + 278 + 0 + 18 + 5 + 6 = 666.

It is a super-2 number, since 2×275338727801856² (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 (275338727801857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9422617326 + ... + 9422646546.

Almost surely, 2^{275338727801856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275338727801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428426818492160).

275338727801856 is an abundant number, since it is smaller than the sum of its proper divisors (581514909182464).

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

275338727801856 is a wasteful number, since it uses less digits than its factorization.

275338727801856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29499 (or 29475 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 275338727801856 in words is "two hundred seventy-five trillion, three hundred thirty-eight billion, seven hundred twenty-seven million, eight hundred one thousand, eight hundred fifty-six".