27090806400 has 1152 divisors, whose sum is σ = 118233504000. Its totient is φ = 6113802240.

The previous prime is 27090806359. The next prime is 27090806429. The reversal of 27090806400 is 460809072.

27090806400 = 155³ + 156³ + ... + 574³.

27090806400 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 0 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342921561 + ... + 342921639.

It is an arithmetic number, because the mean of its divisors is an integer number (102633250).

Almost surely, 2^27090806400 is an apocalyptic number.

27090806400 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 27090806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59116752000).

27090806400 is an abundant number, since it is smaller than the sum of its proper divisors (91142697600).

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

27090806400 is an frugal number, since it uses more digits than its factorization.

27090806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27090806400 in words is "twenty-seven billion, ninety million, eight hundred six thousand, four hundred".