27254200896 has 280 divisors, whose sum is σ = 92126394360. Its totient is φ = 7892287488.

The previous prime is 27254200867. The next prime is 27254200907. The reversal of 27254200896 is 69800245272.

27254200896 is a `hidden beast` number, since 27 + 2 + 542 + 0 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 776402496 + 26477798400 = 27864^2 + 162720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1133770 + ... + 1157558.

It is an arithmetic number, because the mean of its divisors is an integer number (329022837).

Almost surely, 2^27254200896 is an apocalyptic number.

27254200896 is a gapful number since it is divisible by the number (26) 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 27254200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46063197180).

27254200896 is an abundant number, since it is smaller than the sum of its proper divisors (64872193464).

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

27254200896 is a wasteful number, since it uses less digits than its factorization.

27254200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23843 (or 23824 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 27254 and 200896, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 27254200896 in words is "twenty-seven billion, two hundred fifty-four million, two hundred thousand, eight hundred ninety-six".