27656604480960 has 896 divisors, whose sum is σ = 120279655157760. Its totient is φ = 5825618952192.

The previous prime is 27656604480949. The next prime is 27656604480977. The reversal of 27656604480960 is 6908440665672.

27656604480960 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 6 + 60 + 4 + 480 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481936429 + ... + 481993811.

It is an arithmetic number, because the mean of its divisors is an integer number (134240686560).

Almost surely, 2^{27656604480960} is an apocalyptic number.

27656604480960 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 27656604480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60139827578880).

27656604480960 is an abundant number, since it is smaller than the sum of its proper divisors (92623050676800).

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

27656604480960 is a wasteful number, since it uses less digits than its factorization.

27656604480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58042 (or 58026 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 27656604480960 in words is "twenty-seven trillion, six hundred fifty-six billion, six hundred four million, four hundred eighty thousand, nine hundred sixty".