27779431680000 has 5760 divisors, whose sum is σ = 141015325651200. Its totient is φ = 5255331840000.

The previous prime is 27779431679959. The next prime is 27779431680127. The reversal of 27779431680000 is 8613497772.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 380540159964 + ... + 380540160036.

It is an arithmetic number, because the mean of its divisors is an integer number (24481827370).

Almost surely, 2^{27779431680000} is an apocalyptic number.

27779431680000 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 27779431680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70507662825600).

27779431680000 is an abundant number, since it is smaller than the sum of its proper divisors (113235893971200).

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

27779431680000 is a wasteful number, since it uses less digits than its factorization.

27779431680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27779431680000 in words is "twenty-seven trillion, seven hundred seventy-nine billion, four hundred thirty-one million, six hundred eighty thousand".