27893485379760 has 3840 divisors, whose sum is σ = 127671828480000. Its totient is φ = 4889648332800.

The previous prime is 27893485379689. The next prime is 27893485379803. The reversal of 27893485379760 is 6797358439872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 140168268141 + ... + 140168268339.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872000).

Almost surely, 2^{27893485379760} is an apocalyptic number.

27893485379760 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 27893485379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835914240000).

27893485379760 is an abundant number, since it is smaller than the sum of its proper divisors (99778343100240).

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

27893485379760 is a wasteful number, since it uses less digits than its factorization.

27893485379760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 78.

The spelling of 27893485379760 in words is "twenty-seven trillion, eight hundred ninety-three billion, four hundred eighty-five million, three hundred seventy-nine thousand, seven hundred sixty".