27116678400 has 1296 divisors, whose sum is σ = 115286996160. Its totient is φ = 5573836800.

The previous prime is 27116678399. The next prime is 27116678423. The reversal of 27116678400 is 487661172.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661382380 + ... + 661382420.

Almost surely, 2^27116678400 is an apocalyptic number.

27116678400 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 27116678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57643498080).

27116678400 is an abundant number, since it is smaller than the sum of its proper divisors (88170317760).

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

27116678400 is a wasteful number, since it uses less digits than its factorization.

27116678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 27116678400 in words is "twenty-seven billion, one hundred sixteen million, six hundred seventy-eight thousand, four hundred".