27164271326400 has 1008 divisors, whose sum is σ = 108341224828928. Its totient is φ = 6654638592000.

The previous prime is 27164271326347. The next prime is 27164271326419. The reversal of 27164271326400 is 462317246172.

27164271326400 is a `hidden beast` number, since 2 + 7 + 16 + 4 + 271 + 326 + 40 + 0 = 666.

It is a super-3 number, since 3×27164271326400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066465665 + ... + 1066491135.

Almost surely, 2^{27164271326400} is an apocalyptic number.

27164271326400 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 27164271326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54170612414464).

27164271326400 is an abundant number, since it is smaller than the sum of its proper divisors (81176953502528).

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

27164271326400 is a wasteful number, since it uses less digits than its factorization.

27164271326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732 (or 25705 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27164271326400 in words is "twenty-seven trillion, one hundred sixty-four billion, two hundred seventy-one million, three hundred twenty-six thousand, four hundred".