274988313600000 has 5376 divisors, whose sum is σ = 1272877630617600. Its totient is φ = 52022476800000.

The previous prime is 274988313599891. The next prime is 274988313600023. The reversal of 274988313600000 is 6313889472.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3766963199964 + ... + 3766963200036.

It is an arithmetic number, because the mean of its divisors is an integer number (236770392600).

Almost surely, 2^{274988313600000} is an apocalyptic number.

274988313600000 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 274988313600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636438815308800).

274988313600000 is an abundant number, since it is smaller than the sum of its proper divisors (997889317017600).

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

274988313600000 is an frugal number, since it uses more digits than its factorization.

274988313600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 274988313600000 in words is "two hundred seventy-four trillion, nine hundred eighty-eight billion, three hundred thirteen million, six hundred thousand".