27858214338240 has 1344 divisors, whose sum is σ = 105846234181632. Its totient is φ = 6153386803200.

The previous prime is 27858214338233. The next prime is 27858214338247. The reversal of 27858214338240 is 4283341285872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27858214338233) and next prime (27858214338247).

It is a super-2 number, since 2×27858214338240² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27858214338247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62885359459 + ... + 62885359901.

It is an arithmetic number, because the mean of its divisors is an integer number (78754638528).

Almost surely, 2^{27858214338240} is an apocalyptic number.

27858214338240 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 27858214338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923117090816).

27858214338240 is an abundant number, since it is smaller than the sum of its proper divisors (77988019843392).

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

27858214338240 is a wasteful number, since it uses less digits than its factorization.

27858214338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 27858214338240 in words is "twenty-seven trillion, eight hundred fifty-eight billion, two hundred fourteen million, three hundred thirty-eight thousand, two hundred forty".