27216340463400 has 384 divisors, whose sum is σ = 93873917399040. Its totient is φ = 6466744960000.

The previous prime is 27216340463311. The next prime is 27216340463423. The reversal of 27216340463400 is 436404361272.

It is a super-3 number, since 3×27216340463400³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343813825 + ... + 343892975.

It is an arithmetic number, because the mean of its divisors is an integer number (244463326560).

Almost surely, 2^{27216340463400} is an apocalyptic number.

27216340463400 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 27216340463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46936958699520).

27216340463400 is an abundant number, since it is smaller than the sum of its proper divisors (66657576935640).

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

27216340463400 is a wasteful number, since it uses less digits than its factorization.

27216340463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80217 (or 80208 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 27216340463400 in words is "twenty-seven trillion, two hundred sixteen billion, three hundred forty million, four hundred sixty-three thousand, four hundred".