273700103040 has 1536 divisors, whose sum is σ = 1234384220160. Its totient is φ = 54305095680.

The previous prime is 273700102987. The next prime is 273700103041. The reversal of 273700103040 is 40301007372.

273700103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 273700102995 and 273700103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273700103041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880064485 + ... + 880064795.

It is an arithmetic number, because the mean of its divisors is an integer number (803635560).

Almost surely, 2^273700103040 is an apocalyptic number.

273700103040 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 273700103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617192110080).

273700103040 is an abundant number, since it is smaller than the sum of its proper divisors (960684117120).

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

273700103040 is a wasteful number, since it uses less digits than its factorization.

273700103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 273700103040 in words is "two hundred seventy-three billion, seven hundred million, one hundred three thousand, forty".