27639480960000 has 5280 divisors, whose sum is σ = 133904628802560. Its totient is φ = 5643509760000.

The previous prime is 27639480959903. The next prime is 27639480960001. The reversal of 27639480960000 is 6908493672.

It is a happy number.

27639480960000 is a `hidden beast` number, since 2 + 76 + 3 + 9 + 480 + 96 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27639480960001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 891596159985 + ... + 891596160015.

It is an arithmetic number, because the mean of its divisors is an integer number (25360725152).

Almost surely, 2^{27639480960000} is an apocalyptic number.

27639480960000 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 27639480960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952314401280).

27639480960000 is an abundant number, since it is smaller than the sum of its proper divisors (106265147842560).

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

27639480960000 is an frugal number, since it uses more digits than its factorization.

27639480960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27639480960000 in words is "twenty-seven trillion, six hundred thirty-nine billion, four hundred eighty million, nine hundred sixty thousand".