27679990291200 has 1620 divisors, whose sum is σ = 111670265848680. Its totient is φ = 6761541795840.

The previous prime is 27679990291199. The next prime is 27679990291231. The reversal of 27679990291200 is 219209997672.

27679990291200 is a `hidden beast` number, since 2 + 76 + 79 + 9 + 9 + 0 + 291 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12177733264 + ... + 12177735536.

Almost surely, 2^{27679990291200} is an apocalyptic number.

27679990291200 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 27679990291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55835132924340).

27679990291200 is an abundant number, since it is smaller than the sum of its proper divisors (83990275557480).

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

27679990291200 is a wasteful number, since it uses less digits than its factorization.

27679990291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 27679990291200 in words is "twenty-seven trillion, six hundred seventy-nine billion, nine hundred ninety million, two hundred ninety-one thousand, two hundred".