27991808409600 has 2280 divisors, whose sum is σ = 122841735943168. Its totient is φ = 6191736422400.

The previous prime is 27991808409557. The next prime is 27991808409619. The reversal of 27991808409600 is 690480819972.

27991808409600 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 18 + 0 + 8 + 4 + 0 + 9 + 600 = 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 119 ways as a sum of consecutive naturals, for example, 902961561585 + ... + 902961561615.

Almost surely, 2^{27991808409600} is an apocalyptic number.

27991808409600 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 27991808409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61420867971584).

27991808409600 is an abundant number, since it is smaller than the sum of its proper divisors (94849927533568).

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

27991808409600 is an frugal number, since it uses more digits than its factorization.

27991808409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 27991808409600 in words is "twenty-seven trillion, nine hundred ninety-one billion, eight hundred eight million, four hundred nine thousand, six hundred".