27278475494400 has 2673 divisors, whose sum is σ = 113479942359303. Its totient is φ = 6498098380800.

The previous prime is 27278475494383. The next prime is 27278475494411. The reversal of 27278475494400 is 449457487272.

The square root of 27278475494400 is 5222880.

It is a perfect power (a square), and thus also a powerful number.

27278475494400 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 8 + 47 + 549 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7031067411456 + 20247408082944 = 2651616^2 + 4499712^2 .

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 242 ways as a sum of consecutive naturals, for example, 879950822385 + ... + 879950822415.

Almost surely, 2^{27278475494400} is an apocalyptic number.

27278475494400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27278475494400 is the 5222880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27278475494400

27278475494400 is an abundant number, since it is smaller than the sum of its proper divisors (86201466864903).

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

27278475494400 is an frugal number, since it uses more digits than its factorization.

27278475494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 27278475494400 in words is "twenty-seven trillion, two hundred seventy-eight billion, four hundred seventy-five million, four hundred ninety-four thousand, four hundred".