27273866400 has 720 divisors, whose sum is σ = 110050018848. Its totient is φ = 6518016000.

The previous prime is 27273866383. The next prime is 27273866413. The reversal of 27273866400 is 466837272.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 59162170 + ... + 59162630.

Almost surely, 2^27273866400 is an apocalyptic number.

27273866400 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 27273866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55025009424).

27273866400 is an abundant number, since it is smaller than the sum of its proper divisors (82776152448).

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

27273866400 is a wasteful number, since it uses less digits than its factorization.

27273866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

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

The spelling of 27273866400 in words is "twenty-seven billion, two hundred seventy-three million, eight hundred sixty-six thousand, four hundred".