27994893153600 has 1008 divisors, whose sum is σ = 99737225659008. Its totient is φ = 6870806691840.

The previous prime is 27994893153541. The next prime is 27994893153607. The reversal of 27994893153600 is 635139849972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27994893153607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36981364422 + ... + 36981365178.

It is an arithmetic number, because the mean of its divisors is an integer number (98945660376).

It is a 1-persistent number, because it is pandigital, but 2⋅27994893153600 = 55989786307200 is not.

Almost surely, 2^{27994893153600} is an apocalyptic number.

27994893153600 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 27994893153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868612829504).

27994893153600 is an abundant number, since it is smaller than the sum of its proper divisors (71742332505408).

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

27994893153600 is a wasteful number, since it uses less digits than its factorization.

27994893153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 27994893153600 in words is "twenty-seven trillion, nine hundred ninety-four billion, eight hundred ninety-three million, one hundred fifty-three thousand, six hundred".