27265996800 has 864 divisors, whose sum is σ = 114067699200. Its totient is φ = 6095831040.

The previous prime is 27265996789. The next prime is 27265996811. The reversal of 27265996800 is 869956272.

27265996800 is a `hidden beast` number, since 27 + 26 + 599 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27265996789) and next prime (27265996811).

It is a super-2 number, since 2×27265996800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254822347 + ... + 254822453.

It is an arithmetic number, because the mean of its divisors is an integer number (132022800).

Almost surely, 2^27265996800 is an apocalyptic number.

27265996800 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 27265996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57033849600).

27265996800 is an abundant number, since it is smaller than the sum of its proper divisors (86801702400).

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

27265996800 is a wasteful number, since it uses less digits than its factorization.

27265996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27265996800 in words is "twenty-seven billion, two hundred sixty-five million, nine hundred ninety-six thousand, eight hundred".