27975684856320 has 640 divisors, whose sum is σ = 107664483674880. Its totient is φ = 6858048798720.

The previous prime is 27975684856271. The next prime is 27975684856459. The reversal of 27975684856320 is 2365848657972.

27975684856320 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 5 + 68 + 485 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50249880 + ... + 50803560.

It is an arithmetic number, because the mean of its divisors is an integer number (168225755742).

Almost surely, 2^{27975684856320} is an apocalyptic number.

27975684856320 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 27975684856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53832241837440).

27975684856320 is an abundant number, since it is smaller than the sum of its proper divisors (79688798818560).

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

27975684856320 is a wasteful number, since it uses less digits than its factorization.

27975684856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553773 (or 553751 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 27975684856320 in words is "twenty-seven trillion, nine hundred seventy-five billion, six hundred eighty-four million, eight hundred fifty-six thousand, three hundred twenty".