27873348854400 has 2304 divisors, whose sum is σ = 121652713728000. Its totient is φ = 5939546849280.

The previous prime is 27873348854381. The next prime is 27873348854441. The reversal of 27873348854400 is 445884337872.

27873348854400 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 3 + 3 + 4 + 88 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38026396434 + ... + 38026397166.

It is an arithmetic number, because the mean of its divisors is an integer number (52800657000).

Almost surely, 2^{27873348854400} is an apocalyptic number.

27873348854400 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 27873348854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60826356864000).

27873348854400 is an abundant number, since it is smaller than the sum of its proper divisors (93779364873600).

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

27873348854400 is a wasteful number, since it uses less digits than its factorization.

27873348854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 27873348854400 in words is "twenty-seven trillion, eight hundred seventy-three billion, three hundred forty-eight million, eight hundred fifty-four thousand, four hundred".